%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:51 AM UTC 2026 % Result : Unsatisfiable 0.91s 1.10s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.07/0.35 % Computer : n018.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sat Sep 5 00:06:33 UTC 2026 % 0.07/0.35 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 0.47/1.03 %------------------------------------------- % 0.47/1.03 % File :CSE---1.7 % 0.47/1.03 % Problem :theBenchmark % 0.47/1.03 % Transform :cnf % 0.47/1.03 % Format :tptp:raw % 0.47/1.03 % Command :java -jar mcs_scs.jar %d %s % 0.47/1.03 % 0.47/1.03 % Result :Theorem 0.092442s % 0.47/1.03 % Output :CNFRefutation 0.092442s % 0.47/1.03 %------------------------------------------- % 0.47/1.03 %------------------------------------------------------------------------------ % 0.47/1.03 % File : LCL793-1 : TPTP v9.3.1. Released v4.1.0. % 0.47/1.03 % Domain : Logic Calculi % 0.47/1.03 % Problem : Strong normalization of typed lambda calculus 139_44 % 0.47/1.03 % Version : Especial. % 0.47/1.03 % English : % 0.47/1.03 % 0.47/1.03 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.47/1.03 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.47/1.03 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.47/1.03 % Source : [Nip10] % 0.47/1.03 % Names : StrongNorm-139_44 [Nip10] % 0.47/1.03 % 0.47/1.03 % Status : Unsatisfiable % 0.47/1.03 % Rating : 0.17 v9.3.0, 0.09 v9.1.0, 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.14 v6.0.0, 0.30 v5.5.0, 0.35 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.36 v4.1.0 % 0.47/1.03 % Syntax : Number of clauses : 1105 ( 161 unt; 172 nHn; 681 RR) % 0.47/1.03 % Number of literals : 3165 ( 637 equ;1905 neg) % 0.47/1.04 % Maximal clause size : 6 ( 2 avg) % 0.47/1.04 % Maximal term depth : 5 ( 1 avg) % 0.47/1.04 % Number of predicates : 64 ( 63 usr; 0 prp; 1-3 aty) % 0.47/1.04 % Number of functors : 34 ( 34 usr; 5 con; 0-3 aty) % 0.47/1.04 % Number of variables : 3118 ( 209 sgn) % 0.47/1.04 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.47/1.04 % 0.47/1.04 % Comments : % 0.47/1.04 %------------------------------------------------------------------------------ % 0.47/1.04 cnf(cls_nat__less__add__iff2_1,axiom, % 0.47/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.47/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_nat__less__add__iff2_0,axiom, % 0.47/1.04 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.47/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_nat__less__add__iff1_1,axiom, % 0.47/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.47/1.04 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_nat__less__add__iff1_0,axiom, % 0.47/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.47/1.04 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_eq__add__iff2_1,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oring(T_a) % 0.47/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_le__imp__neg__le_0,axiom, % 0.47/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/1.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.47/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_neg__le__iff__le_0,axiom, % 0.47/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/1.04 | c_lessequals(V_a,V_b,T_a) % 0.47/1.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_add__Suc_0,axiom, % 0.47/1.04 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_add__Suc__right_0,axiom, % 0.47/1.04 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_power__0__Suc_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.47/1.04 | ~ class_Power_Opower(T_a) % 0.47/1.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_one__le__power_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/1.04 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.47/1.04 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_mult__strict__mono_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.47/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.47/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.47/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.47/1.04 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_inverse__eq__divide_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.47/1.04 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_dvd__mult__cancel__left_2,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.47/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_dvd__mult__cancel__right_2,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.47/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_divide__left__mono_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.47/1.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.47/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.47/1.04 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.47/1.04 % 0.47/1.04 cnf(cls_divide__left__mono__neg_0,axiom, % 0.47/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.47/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.47/1.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.47/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.47/1.04 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.47/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.47/1.05 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.47/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.47/1.05 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_min__max_Ole__infI_0,axiom, % 0.47/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.47/1.05 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_x,V_b,T_a) % 0.47/1.05 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.47/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.47/1.05 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_x,V_z,T_a) % 0.47/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.47/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.47/1.05 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_x,V_z,T_a) % 0.47/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_eq__add__iff1_1,axiom, % 0.47/1.05 ( ~ class_Ring__and__Field_Oring(T_a) % 0.47/1.05 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_le__minus__self__iff_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_le__minus__self__iff_1,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_minus__le__self__iff_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.47/1.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_minus__le__self__iff_1,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.47/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.47/1.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.47/1.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.47/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_zero__le__power_0,axiom, % 0.47/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_diff__is__0__eq_1,axiom, % 0.47/1.05 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_diff__is__0__eq_0,axiom, % 0.47/1.05 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/1.05 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_min__diff__distrib__left_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/1.05 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_max__less__iff__conj_2,axiom, % 0.47/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.47/1.05 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.47/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.47/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_diff__Suc__diff__eq2_0,axiom, % 0.47/1.05 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),tc_nat) % 0.47/1.05 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_replicate__eq__replicate_0,axiom, % 0.47/1.05 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.47/1.05 | V_m = V_n ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_class__semiring_Omul__1_0,axiom, % 0.47/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_mult__1_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.47/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_mult__1__left_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.47/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_mult__1__right_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.47/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 0.47/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 0.47/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_add__strict__increasing_0,axiom, % 0.47/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.47/1.05 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.47/1.05 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.47/1.05 | ~ c_lessequals(V_b,V_c,T_a) % 0.47/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/1.05 % 0.47/1.05 cnf(cls_lem0_0,axiom, % 0.47/1.05 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) % 0.47/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.47/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvdI_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__triv__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__triv__right_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_frac__less2_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__one__over_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__is__1_4,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_of__nat__le__iff_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.06 | c_lessequals(V_m,V_n,tc_nat) % 0.91/1.06 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_of__nat__le__iff_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.06 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__preserves__beta_0,axiom, % 0.91/1.06 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i)) % 0.91/1.06 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nonzero__minus__divide__right_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.06 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.06 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__less__0__1__iff_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__less__0__1__iff_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__less__iff__conj_2,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_natgb_Oadd__mul__solve_1,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_natgb_Onoteq__reduce_1,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.06 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.06 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_max__Suc__Suc_0,axiom, % 0.91/1.06 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__Suc0_0,axiom, % 0.91/1.06 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_eq__add__iff2_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 0.91/1.06 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_eq__add__iff1_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__add__Suc1_0,axiom, % 0.91/1.06 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__add__Suc2_0,axiom, % 0.91/1.06 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__iff__Suc__add_1,axiom, % 0.91/1.06 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__diff__conv2_0,axiom, % 0.91/1.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.91/1.06 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.06 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__diff__conv2_1,axiom, % 0.91/1.06 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.91/1.06 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.91/1.06 | ~ c_lessequals(V_y,V_z,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Osup__least_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_z,V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__supI_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_b,V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__maxI1_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__maxI2_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_bot__least_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Obot(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__strict__decreasing_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__increasing_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.06 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.06 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_b,V_c,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__increasing2_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.06 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.06 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_b,V_a,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__imp__power__dvd_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Suc__leI_0,axiom, % 0.91/1.06 ( c_lessequals(c_Suc(V_m),V_n,tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Suc__le__eq_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.06 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__eq__Suc__le_0,axiom, % 0.91/1.06 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__eq__Suc__le_1,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.91/1.06 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__lessD1_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_trans__less__add1_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_trans__less__add2_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__decreasing_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.06 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__0__iff_4,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__0__iff_5,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.06 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__add__iff2_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__add__iff2_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.06 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__add__iff1_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__add__iff1_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Suc__diff__le_0,axiom, % 0.91/1.06 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) % 0.91/1.06 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_zero__le__divide__1__iff_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_zero__le__divide__1__iff_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_inverse__le__1__iff_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat__add__commute_0,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__add__eq__less_0,axiom, % 0.91/1.06 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__0__iff_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__0__iff_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__0__iff_2,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__0__iff_3,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.06 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__eq__1__iff_0,axiom, % 0.91/1.06 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.06 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__eq__1__iff_1,axiom, % 0.91/1.06 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.06 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_diff__less__mono2_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__minus_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.91/1.06 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dvd__power_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__imp__inverse__le__neg_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_inverse__le__imp__le__neg_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | c_lessequals(V_b,V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_inverse__le__imp__le_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | c_lessequals(V_b,V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__imp__inverse__le_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_of__nat__eq__iff_0,axiom, % 0.91/1.06 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.91/1.06 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.91/1.06 | V_m = V_n ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__eq_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__le__eq_6,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__divide__eq_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__divide__eq_6,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__imp__div__pos__le_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__imp__le__div__pos_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_square__eq__iff_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.06 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.91/1.06 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.91/1.06 | V_a = V_b ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dvd__diff_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.06 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) % 0.91/1.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 0.91/1.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__commutes_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.91/1.06 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__max__iff__disj_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_z,V_y,T_a) % 0.91/1.06 | c_lessequals(V_z,V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__semiring_Omul__pwr_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_nat),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_liftn__lift_0,axiom, % 0.91/1.06 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat__eq__add__iff1_1,axiom, % 0.91/1.06 ( ~ c_lessequals(V_j,V_i,tc_nat) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_x,V_z,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_x,V_y,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__le__iff__disj_2,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.91/1.06 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__le__iff__disj_1,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.91/1.06 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__infE_1,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_x,V_b,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Ole__infE_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.06 | c_lessequals(V_x,V_a,T_a) % 0.91/1.06 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_sgn__greater_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_sgn__greater_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__less__eq_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__less__eq_4,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__less__eq_5,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_divide__less__eq_7,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__divide__eq_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__divide__eq_4,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__divide__eq_5,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_less__divide__eq_7,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_inverse__le__1__iff_2,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.06 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.06 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Suc__inject_0,axiom, % 0.91/1.06 ( c_Suc(V_x) != c_Suc(V_y) % 0.91/1.06 | V_x = V_y ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat_Oinject_0,axiom, % 0.91/1.06 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.91/1.06 | V_nat = V_nat_H ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.91/1.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.91/1.06 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_subst__Var_2,axiom, % 0.91/1.07 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.07 | V_i = V_k % 0.91/1.07 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__diff__add__eq2_0,axiom, % 0.91/1.07 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__diff__add__eq1_0,axiom, % 0.91/1.07 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__add__cancel_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__inverse__eq_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__le__cancel2_1,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__le__cancel1_1,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_substn__subst__n_0,axiom, % 0.91/1.07 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Opwr__pwr_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__Suc2_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__Suc_0,axiom, % 0.91/1.07 ( ~ class_Power_Opower(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Opwr__Suc_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__le__mono_0,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__mono_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.07 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__Suc__eq__le_1,axiom, % 0.91/1.07 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__Suc__eq__le_0,axiom, % 0.91/1.07 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__less__Suc__eq_1,axiom, % 0.91/1.07 ( ~ c_lessequals(V_x,V_x,tc_nat) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__mult__commute_0,axiom, % 0.91/1.07 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__less__Suc_0,axiom, % 0.91/1.07 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__less__imp__less_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__imp__inverse__less_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__less__imp__less__neg_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__imp__inverse__less__neg_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__Suc__less__one_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_order__less__trans_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_xt1_I10_J_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_sgn__if_2,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.91/1.07 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.07 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.91/1.07 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.91/1.07 | c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.91/1.07 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__cancel__21_1,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__add__left__commute_0,axiom, % 0.91/1.07 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__add__assoc_0,axiom, % 0.91/1.07 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__gr__0_0,axiom, % 0.91/1.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__add_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(V_a,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__le__mult__iff_1,axiom, % 0.91/1.07 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__le__mult__iff_0,axiom, % 0.91/1.07 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.07 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__cancel__21_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_trans__le__add2_0,axiom, % 0.91/1.07 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_trans__le__add1_0,axiom, % 0.91/1.07 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__leE_1,axiom, % 0.91/1.07 ( c_lessequals(V_k,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__leE_0,axiom, % 0.91/1.07 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_termination__basic__simps_I4_J_0,axiom, % 0.91/1.07 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_x,V_z,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_termination__basic__simps_I3_J_0,axiom, % 0.91/1.07 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_x,V_y,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__positive__imp__positive_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__one_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.91/1.07 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 0.91/1.07 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 0.91/1.07 | c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 0.91/1.07 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_max__diff__distrib__left_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.07 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_not__leE_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.07 | c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | ~ c_lessequals(V_x,V_x,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.91/1.07 | c_lessequals(V_x,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__not__less_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.07 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__not__less_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_y,V_x,T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__not__le_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__not__le_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.07 | c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__le__not__le_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.07 | ~ c_lessequals(V_y,V_x,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_subst__Var_1,axiom, % 0.91/1.07 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.91/1.07 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.07 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__self__if_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.07 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__self_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.07 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_right__inverse__eq_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__le__divide__iff_3,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__le__divide__iff_2,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__le__divide__iff_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__le__divide__iff_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__is__add_5,axiom, % 0.91/1.07 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__strict__increasing2_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.07 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__increasing_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.07 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__le__mono2_0,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__le__mono_0,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__diff__iff_1,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__diff__iff_0,axiom, % 0.91/1.07 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__add__0_0,axiom, % 0.91/1.07 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__diff__left_0,axiom, % 0.91/1.07 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__mono_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__eqI_1,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.07 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.91/1.07 | V_xa = V_y ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__eqI_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.07 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.07 | V_x_H = V_y_H ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__divide__distrib_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__add__iff2_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__add__iff2_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__add__iff1_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__add__iff1_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__eq__add__iff1_0,axiom, % 0.91/1.07 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_j,V_i,tc_nat) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat) = V_n ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__eq__add__iff2_0,axiom, % 0.91/1.07 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) % 0.91/1.07 | V_m = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__le__iff__disj_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_y,V_z,T_a) % 0.91/1.07 | c_lessequals(V_x,V_z,T_a) % 0.91/1.07 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__eq__add__iff2_1,axiom, % 0.91/1.07 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__divide__eq_4,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__Suc0_1,axiom, % 0.91/1.07 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_even__less__0__iff_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_even__less__0__iff_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__is__add_1,axiom, % 0.91/1.07 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.91/1.07 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.07 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__is__add_2,axiom, % 0.91/1.07 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.91/1.07 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.07 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__less__mult__pos_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__pos__pos_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__neg__neg_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__0__less__mult__iff_2,axiom, % 0.91/1.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_power__less__imp__less__base_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_y,V_z,T_a) % 0.91/1.07 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_x,V_z,T_a) % 0.91/1.07 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__max__iff__disj_2,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__max__iff__disj_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__supE_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_b,V_x,T_a) % 0.91/1.07 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Ole__supE_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_lessequals(V_a,V_x,T_a) % 0.91/1.07 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__diff__conv_0,axiom, % 0.91/1.07 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__diff__conv_1,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__less__power_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__max__iff__disj_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__Suc__right_0,axiom, % 0.91/1.07 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__Suc_0,axiom, % 0.91/1.07 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_minus__unique_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_substn_Osimps_I1_J_2,axiom, % 0.91/1.07 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.07 | V_i = V_k % 0.91/1.07 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_not__one__less__zero_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_sgn__if_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.91/1.07 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.07 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.91/1.07 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.91/1.07 | V_dB = V_dB_H ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__le__add__iff1_0,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__le__add__iff1_1,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__le__add__iff2_0,axiom, % 0.91/1.07 ( c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__le__add__iff2_1,axiom, % 0.91/1.07 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__le__eq_8,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.07 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__divide__eq_8,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_of__nat__mult_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.07 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__less__iff__disj_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.07 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) % 0.91/1.07 | V_y = V_z % 0.91/1.07 | V_w = V_x ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.07 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.07 | V_c = V_d % 0.91/1.07 | V_a = V_b ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_natgb_Onoteq__reduce_0,axiom, % 0.91/1.07 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat) % 0.91/1.07 | V_c = V_d % 0.91/1.07 | V_a = V_b ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_natgb_Oadd__mul__solve_0,axiom, % 0.91/1.07 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) % 0.91/1.07 | V_y = V_z % 0.91/1.07 | V_w = V_x ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__size_0,axiom, % 0.91/1.07 c_Nat_Osize__class_Osize(V_n,tc_nat) = V_n ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.07 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nonzero__power__inverse_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) % 0.91/1.07 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__Suc__Suc_0,axiom, % 0.91/1.07 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_neg__less__iff__less_1,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_neg__less__iff__less_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__nonpos__neg_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__neg__nonpos_0,axiom, % 0.91/1.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__SucE_0,axiom, % 0.91/1.07 ( V_m = V_n % 0.91/1.07 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__antisym_0,axiom, % 0.91/1.07 ( V_m = V_n % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.91/1.07 ( V_n = V_m % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__add__assoc_0,axiom, % 0.91/1.07 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__add__assoc2_0,axiom, % 0.91/1.07 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_add__frac__eq_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.91/1.07 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_mult__eq__1__iff_2,axiom, % 0.91/1.07 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__eq__eq_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.91/1.07 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__divide__eq_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.91/1.07 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_zero__le__one_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.07 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_diff__diff__right_0,axiom, % 0.91/1.07 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_inverse__less__1__iff_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__imp__diff__less_0,axiom, % 0.91/1.07 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat_Osize_I4_J_0,axiom, % 0.91/1.07 c_Nat_Osize__class_Osize(c_Suc(V_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_nat,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__le__0__1__iff_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__le__0__1__iff_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__le__inverse__iff_1,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.07 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__is__add_4,axiom, % 0.91/1.07 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__le__not__le_2,axiom, % 0.91/1.07 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.07 | c_lessequals(V_y,V_x,T_a) % 0.91/1.07 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__less__le_1,axiom, % 0.91/1.07 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_less__not__refl_0,axiom, % 0.91/1.07 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_order__less__le_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_linorder__neq__iff_1,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_order__less__irrefl_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_le__imp__diff__is__add_1,axiom, % 0.91/1.07 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat) % 0.91/1.07 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__divide__imp_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__eq__imp_0,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_divide__eq__eq_3,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.91/1.07 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__divide__eq_3,axiom, % 0.91/1.07 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.07 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.91/1.07 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_eq__diff__iff_0,axiom, % 0.91/1.07 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.07 | ~ c_lessequals(V_k,V_m,tc_nat) % 0.91/1.07 | V_m = V_n ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.91/1.07 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.07 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_nat__mult__eq__cancel1_0,axiom, % 0.91/1.07 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.91/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.07 | V_m = V_n ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__is__add_3,axiom, % 0.91/1.07 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.91/1.07 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.07 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.07 % 0.91/1.07 cnf(cls_one__is__add_0,axiom, % 0.91/1.07 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.91/1.07 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.07 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.07 % 0.91/1.08 cnf(cls_mult__less__cancel2_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__less__cancel1_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_of__nat__Suc_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.08 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__le__1__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.91/1.08 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__Suc__shift_0,axiom, % 0.91/1.08 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__cancel2_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__cancel1_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__mult__le__cancel1_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__mult__le__cancel1_1,axiom, % 0.91/1.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_lessequals(V_b,V_a,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,V_a,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__less__mult_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__divide__eq_7,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__divide__eq_5,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__le__eq_7,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__le__eq_5,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__divide__divide_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__cancel2_0,axiom, % 0.91/1.08 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__cancel_0,axiom, % 0.91/1.08 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_zero__less__Suc_0,axiom, % 0.91/1.08 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_gr0__conv__Suc_1,axiom, % 0.91/1.08 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dB_Osize_I5_J_0,axiom, % 0.91/1.08 c_Nat_Osize__class_Osize(c_Lambda_OdB_OApp(V_dB1,V_dB2),tc_Lambda_OdB) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__le__inverse__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__max__iff__disj_1,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__max__iff__disj_2,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_max__less__iff__conj_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_max__less__iff__conj_1,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__less__power_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_left__add__mult__distrib_0,axiom, % 0.91/1.08 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_k,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_u,tc_nat),V_k,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_combine__common__factor_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__le__self_0,axiom, % 0.91/1.08 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_left__minus_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_right__minus_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_ab__left__minus_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__0__less__mult__iff_1,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__0__less__mult__iff_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__neg__neg_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__strict__mono_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__mult__distrib2_0,axiom, % 0.91/1.08 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__mult__distrib_0,axiom, % 0.91/1.08 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__diff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.91/1.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__less__iff__conj_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__less__iff__conj_1,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__less__iff__disj_1,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__less__iff__disj_2,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Nat_Odiff__diff__eq_0,axiom, % 0.91/1.08 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__commute_0,axiom, % 0.91/1.08 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__nonneg__pos_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__pos__nonneg_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__mult__distrib_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.08 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__less__mono_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_c,V_a,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__0__iff_4,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__0__iff_5,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_split__mult__neg__le_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_split__mult__neg__le_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_not__square__less__zero_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Suc__mult__less__cancel1_1,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Suc__mult__less__cancel1_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Suc__lessI_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.91/1.08 | c_Suc(V_m) = V_n % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_not__less__eq__eq_1,axiom, % 0.91/1.08 ( ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_not__less__eq__eq_0,axiom, % 0.91/1.08 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.91/1.08 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat) % 0.91/1.08 | V_y = V_z ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__add__right__cancel_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat) % 0.91/1.08 | V_m = V_n ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__add__left__cancel_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 0.91/1.08 | V_m = V_n ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.08 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.91/1.08 | V_y = V_z ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__imp__eq_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.91/1.08 | V_b = V_c ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__left__cancel_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.91/1.08 | V_b = V_c ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__right__cancel_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.91/1.08 | V_b = V_c ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__eq__1__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.08 | V_x = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__less__1__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.91/1.08 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__1_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__add__distrib__left_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__add__diff_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_k,tc_nat),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_k,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__left__le__one__le_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a) % 0.91/1.08 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__nonpos__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__nonneg__pos_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__right__le__one__le_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a) % 0.91/1.08 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_liftn_Osimps_I1_J_1,axiom, % 0.91/1.08 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,V_n,tc_nat)) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_beta_0,axiom, % 0.91/1.08 c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(V_s),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__pos__pos_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__add1_0,axiom, % 0.91/1.08 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__add2_0,axiom, % 0.91/1.08 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__iff__add_1,axiom, % 0.91/1.08 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__minus__add__max_0,axiom, % 0.91/1.08 c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),V_m,tc_nat) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.91/1.08 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.91/1.08 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.91/1.08 | V_x = V_y ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.91/1.08 | V_a = V_b ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__divide_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_not__one__le__zero_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_negative__imp__inverse__negative_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__negative__iff__negative_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__negative__iff__negative_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__gt1__lemma_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.08 | V_x = V_y ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | V_x = V_y % 0.91/1.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__antisym_0,axiom, % 0.91/1.08 ( V_m = V_n % 0.91/1.08 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.91/1.08 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__neq__iff_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.08 | V_m = V_n ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_linorder__neqE__nat_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.91/1.08 | V_x = V_y ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_order__eq__iff_2,axiom, % 0.91/1.08 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.08 | V_x = V_y % 0.91/1.08 | ~ c_lessequals(V_y,V_x,T_a) % 0.91/1.08 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_linorder__neqE_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.08 | V_x = V_y ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_order__antisym_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.08 | V_x = V_y % 0.91/1.08 | ~ c_lessequals(V_y,V_x,T_a) % 0.91/1.08 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_order__antisym__conv_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.08 | V_x = V_y % 0.91/1.08 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.08 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_linorder__less__linear_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.08 | V_x = V_y % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | V_x = V_y % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Osup__idem_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__strict__mono_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__less__mono_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 0.91/1.08 ( c_lessequals(V_x,V_y,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__less__le_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_order__le__less_1,axiom, % 0.91/1.08 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.08 | c_lessequals(V_x,V_y,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_order__less__imp__le_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.08 | c_lessequals(V_x,V_y,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__add__cancel_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__cancel__end_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__1_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__less__inverse__iff_2,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__eq__1__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__trans_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__refl_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_zero__le__divide__iff_4,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_zero__le__divide__iff_5,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_frac__le_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_w,V_z,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.91/1.08 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__gt1_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__Suc__diff__eq1_0,axiom, % 0.91/1.08 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_of__nat__less__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_of__nat__less__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__mult__cancel__right_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__mult__cancel__left_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_lessI_0,axiom, % 0.91/1.08 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__Suc__eq_2,axiom, % 0.91/1.08 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__trans__Suc_0,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__le__cancel__right_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__le__cancel__right_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__le__cancel__left_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__le__cancel__left_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__right__mono_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__left__mono_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__le__mono1_0,axiom, % 0.91/1.08 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__add__left__cancel__le_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat__add__left__cancel__le_1,axiom, % 0.91/1.08 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_zero__less__one_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__frac__frac_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__mult__right_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__mult__left_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__imp__diff__is__add_0,axiom, % 0.91/1.08 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.91/1.08 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__add__diff__inverse_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m % 0.91/1.08 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__add__diff__inverse2_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m % 0.91/1.08 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__less__cancel1_1,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__less__cancel2_1,axiom, % 0.91/1.08 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__eq__neg_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.08 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__eq__neg_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__strict__left__mono_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__add__one_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__diff__assoc_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) % 0.91/1.08 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__diff__assoc2_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) % 0.91/1.08 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_drop__drop_0,axiom, % 0.91/1.08 c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__le__imp__le__base_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_lessequals(V_a,V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__left__idem_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.91/1.08 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__less__inverse__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__dvd_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__inject__exp_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.08 | V_m = V_n ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__0_0,axiom, % 0.91/1.08 ( ~ class_Power_Opower(T_a) % 0.91/1.08 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_class__semiring_Opwr__0_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sgn__1__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sgn__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__mult__commute_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.08 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__power__same_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__strict__right__mono_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__positive__iff__positive_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__positive__iff__positive_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_positive__imp__inverse__positive_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__is__1_3,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.08 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.08 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__is__1_0,axiom, % 0.91/1.08 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.08 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.08 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sgn__less_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sgn__less_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Suc__diff__diff_0,axiom, % 0.91/1.08 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__minus__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__minus__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__dvd__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_minus__dvd__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.91/1.08 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_class__ring_Osub__add_0,axiom, % 0.91/1.08 ( ~ class_Int_Onumber__ring(T_a) % 0.91/1.08 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__def_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.08 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_diff__minus_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_ab__diff__minus_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.08 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Suc__mult__le__cancel1_1,axiom, % 0.91/1.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) % 0.91/1.08 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_Suc__mult__le__cancel1_0,axiom, % 0.91/1.08 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 0.91/1.08 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 0.91/1.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__num__frac_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.91/1.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__frac__num_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.91/1.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dB_Osize_I6_J_0,axiom, % 0.91/1.08 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__less__0__iff_3,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__less__0__iff_2,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__less__0__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__less__0__iff_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_less__half__sum_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_gt__half__sum_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.08 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Osup__commute_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_power__eq__imp__eq__base_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.08 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 0.91/1.08 | V_a = V_b % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_add__cancel__end_0,axiom, % 0.91/1.08 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.91/1.08 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 0.91/1.08 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.91/1.08 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.91/1.08 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_division__ring__inverse__add_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.91/1.08 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_inverse__add_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.08 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.91/1.08 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_dvd__add_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.08 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.91/1.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_le__Suc__eq_2,axiom, % 0.91/1.08 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_one__less__inverse__iff_1,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_drop__replicate_0,axiom, % 0.91/1.08 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.91/1.08 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.08 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__pos__pos_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_divide__neg__neg_0,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_zero__less__divide__iff_4,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_zero__less__divide__iff_5,axiom, % 0.91/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_nat_Osize_I2_J_0,axiom, % 0.91/1.08 c_nat_Onat__size(c_Suc(V_nat)) = c_HOL_Oplus__class_Oplus(c_nat_Onat__size(V_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.08 % 0.91/1.08 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__square_0,axiom, % 0.91/1.09 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__frac__num_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__diff__cancel_0,axiom, % 0.91/1.09 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i % 0.91/1.09 | ~ c_lessequals(V_i,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__Suc__less_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__Suc__Suc_0,axiom, % 0.91/1.09 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_substn_Osimps_I1_J_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.91/1.09 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__SucE_0,axiom, % 0.91/1.09 ( V_m = c_Suc(V_n) % 0.91/1.09 | c_lessequals(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_not__less__eq_1,axiom, % 0.91/1.09 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_not__less__eq_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel2_2,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel1_2,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__mono2_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__mono1_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__mult__less__cancel1_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__mult__less__cancel1_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__strict__left__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__strict__right__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__divide__eq_9,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__divide__eq_8,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__divide__eq_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__divide__eq_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__eq_9,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__eq_8,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__eq_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__eq_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_max__add__distrib__left_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sgn__sgn_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__inject__base_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a) % 0.91/1.09 | V_a = V_b % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__mono_0,axiom, % 0.91/1.09 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__power__le_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_m,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__0__iff_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__0__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__0__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__0__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__pos__neg2_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__pos__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__neg__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__leD_0,axiom, % 0.91/1.09 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__SucI_0,axiom, % 0.91/1.09 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_n__less__m__mult__n_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_n__less__n__mult__m_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__minus__cancel_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__inverse_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__n__not__le__n_0,axiom, % 0.91/1.09 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__mult__right_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__mult__left_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__mult2_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__mult_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_substn__subst__0_0,axiom, % 0.91/1.09 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__diff__iff_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__diff__iff_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_pos__add__strict_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_subst__lt_0,axiom, % 0.91/1.09 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__divide__1__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__divide__1__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__strict__increasing__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__strict__increasing__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__strict__increasing_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__less__imp__less__exp_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_not__add__less1_0,axiom, % 0.91/1.09 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_not__add__less2_0,axiom, % 0.91/1.09 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nonzero__power__divide_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__negative__imp__negative_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_of__nat__diff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.91/1.09 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__less__power__Suc_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__divide_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__dvd__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__right__mono__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__left__mono__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__right__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__left__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__mono1_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.09 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a) % 0.91/1.09 | V_c = V_d % 0.91/1.09 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom, % 0.91/1.09 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat),tc_nat) % 0.91/1.09 | V_c = V_d % 0.91/1.09 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__diff__conv_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__diff__conv_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__le__eq_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__le__eq_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__divide__eq_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__divide__eq_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__n__not__n_0,axiom, % 0.91/1.09 c_Suc(V_n) != V_n ). % 0.91/1.09 % 0.91/1.09 cnf(cls_n__not__Suc__n_0,axiom, % 0.91/1.09 V_n != c_Suc(V_n) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__unique_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__imp__less__div__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__imp__div__pos__less_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__eq_6,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__divide__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__divide__eq_6,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__neg__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__pos__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__0__iff_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__less__0__iff_5,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__power_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__strict__right__mono_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__less__cancel__right_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__less__cancel__right_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__strict__left__mono_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__less__cancel__left_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__less__cancel__left_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__less__mono1_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_one__le__mult__iff_2,axiom, % 0.91/1.09 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_xt1_I6_J_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_lessequals(V_z,V_x,T_a) % 0.91/1.09 | ~ c_lessequals(V_z,V_y,T_a) % 0.91/1.09 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_xt1_I7_J_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.09 | ~ c_lessequals(V_z,V_y,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_xt1_I8_J_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.09 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__le__dvd_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__trans_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.09 | c_lessequals(V_x,V_z,T_a) % 0.91/1.09 | ~ c_lessequals(V_y,V_z,T_a) % 0.91/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__refl_0,axiom, % 0.91/1.09 c_lessequals(V_n,V_n,tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__trans_0,axiom, % 0.91/1.09 ( c_lessequals(V_i,V_k,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_j,V_k,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_eq__imp__le_0,axiom, % 0.91/1.09 c_lessequals(V_x,V_x,tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__eq__iff_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_lessequals(V_x,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__eq__refl_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.09 | c_lessequals(V_x,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__le__less__trans_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__less__le__trans_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.09 | ~ c_lessequals(V_y,V_z,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__add__right__mono_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__less__1__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__diff_0,axiom, % 0.91/1.09 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__is__1_5,axiom, % 0.91/1.09 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__divide__iff_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__divide__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__divide__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__cube_0,axiom, % 0.91/1.09 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__mono_H_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_field__inverse_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_left__inverse_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_right__inverse_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_square__eq__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__mult__minus_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__minus__eq__add_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__two_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__frac__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.91/1.09 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__mult__cancel__left_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.91/1.09 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__mult__cancel__right_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.91/1.09 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nonzero__inverse__eq__divide_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__divide__eq_9,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__divide__eq_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__divide__eq_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__le__eq_9,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__le__eq_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__le__eq_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_abs_0,axiom, % 0.91/1.09 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t)) % 0.91/1.09 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__mult__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__mult__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__mult__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__mult__iff_3,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__add__inverse2_0,axiom, % 0.91/1.09 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__add__inverse_0,axiom, % 0.91/1.09 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__diff__cancel_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_one__le__inverse__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__le__imp__le__exp_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_lessequals(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__increasing__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_lessequals(V_x,V_y,tc_nat) % 0.91/1.09 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__increasing__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_x,V_y,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__divide__right_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__divide__left_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__divide__distrib_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__1__mult_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__minus_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_double__compl_0,axiom, % 0.91/1.09 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_equation__minus__iff_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_equation__minus__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__equation__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__diff__eq_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__le__less__mono_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__less__le__mono_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__less__eq_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__mono_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__gr__0_2,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__gr__0_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__minus__iff_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__minus__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__le__iff_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__le__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__minus__iff_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__minus__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__less__iff_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__less__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_eq__divide__eq_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__zero_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.91/1.09 | V_a = V_b % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__zero_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_neg__equal__zero_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__zero__imp__zero_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__eq__0__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.09 | ~ class_Power_Opower(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_field__power__not__zero_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sgn0_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.91/1.09 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sgn__0__0_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__zero__left_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__zero__right_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__eq__0__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__eq__0__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dvd__0__right_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_one__neq__zero_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.09 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_no__zero__divisors_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__eq__0__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_double__eq__0__iff_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.09 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__self_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__0__right_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_right__minus__eq_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.09 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.09 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_double__eq__0__iff_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__divide__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__nonneg__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__nonpos__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.09 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__idem_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__strict__mono_H_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__less__Suc__eq_0,axiom, % 0.91/1.09 ( V_n = V_m % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_division__ring__inverse__diff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__mono1_0,axiom, % 0.91/1.09 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__mono2_0,axiom, % 0.91/1.09 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__cancel1_2,axiom, % 0.91/1.09 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__le__cancel2_2,axiom, % 0.91/1.09 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__diff_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__less__diff_1,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__lessD_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__SucI_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__eq__iff__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.91/1.09 | V_a = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__mult__cancel1_0,axiom, % 0.91/1.09 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat) % 0.91/1.09 | V_m = V_n ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__pred_0,axiom, % 0.91/1.09 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_of__nat__add_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.09 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__less_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__eqI_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.09 | c_lessequals(V_y_H,V_x_H,T_a) % 0.91/1.09 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__eqI_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.09 | c_lessequals(V_y,V_x,T_a) % 0.91/1.09 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__eqI_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__eqI_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__mult__distrib_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__diff__inverse_0,axiom, % 0.91/1.09 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m % 0.91/1.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_diff__Suc__less_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inf__period_I4_J_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inf__period_I4_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.91/1.09 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.91/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_frac__eq__eq_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.91/1.09 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_frac__eq__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.91/1.09 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__is__1_1,axiom, % 0.91/1.09 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.09 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.09 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__is__1_2,axiom, % 0.91/1.09 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.09 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.09 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__mult_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.91/1.09 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_xt1_I11_J_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | V_a = V_b % 0.91/1.09 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_xt1_I12_J_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | ~ c_lessequals(V_b,V_a,T_a) % 0.91/1.09 | V_a = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__less__le_2,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | V_m = V_n % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__eq__less__or__eq_0,axiom, % 0.91/1.09 ( V_m = V_n % 0.91/1.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_le__neq__implies__less_0,axiom, % 0.91/1.09 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.09 | V_m = V_n % 0.91/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__le__less_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | V_x = V_y % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__less__le_2,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.09 | V_x = V_y % 0.91/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__le__neq__trans_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | V_a = V_b % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__neq__le__trans_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) % 0.91/1.09 | V_a = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | V_x = V_y % 0.91/1.09 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | V_x = V_y % 0.91/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__right__mono__neg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__right__mono_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_power__inverse_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_inverse__minus__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sgn__times_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__mult__iff_5,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__mult__iff_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_zero__le__square_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_split__mult__pos__le_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_split__mult__pos__le_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dB_Osize_I2_J_0,axiom, % 0.91/1.09 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OApp(V_dB1,V_dB2)) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(V_dB1),c_Lambda_OdB_OdB__size(V_dB2),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__minus__self__iff_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_less__minus__self__iff_1,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_right__inverse__eq_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.09 | V_a = V_b ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__ring_Oneg__mul_0,axiom, % 0.91/1.09 ( ~ class_Int_Onumber__ring(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__le__mono_0,axiom, % 0.91/1.09 ( c_lessequals(V_n,V_m,tc_nat) % 0.91/1.09 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_Suc__le__mono_1,axiom, % 0.91/1.09 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 0.91/1.09 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_divide__eq__eq_4,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sgn__1__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_sgn__pos_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.09 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_dB_Osize_I3_J_0,axiom, % 0.91/1.09 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(V_dB),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__mult__assoc_0,axiom, % 0.91/1.09 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__mult__distrib_0,axiom, % 0.91/1.09 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_add__mult__distrib2_0,axiom, % 0.91/1.09 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.09 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__add__distrib_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_minus__add_0,axiom, % 0.91/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_frac__less_0,axiom, % 0.91/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.91/1.09 | ~ c_lessequals(V_w,V_z,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_xt1_I9_J_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_nat__le__linear_0,axiom, % 0.91/1.09 ( c_lessequals(V_n,V_m,tc_nat) % 0.91/1.09 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_linorder__linear_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.09 | c_lessequals(V_y,V_x,T_a) % 0.91/1.09 | c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__less__asym_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.09 % 0.91/1.09 cnf(cls_order__less__asym_H_0,axiom, % 0.91/1.09 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.10 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.91/1.10 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_zero__neq__one_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.10 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 0.91/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dvd__0__left_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.10 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.10 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | V_x = V_y ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_right__minus__eq_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.10 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | V_a = V_b ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.10 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | V_a = V_b ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_divide__eq__eq_1,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.10 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_divide__zero_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.10 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_divide__zero__left_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_divide__self__if_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_sgn__0__0_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.10 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.10 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.10 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_add__0__left_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_neg__equal__zero_0,axiom, % 0.91/1.10 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.91/1.10 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.91/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_power__0__left_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.91/1.10 | ~ class_Power_Opower(T_a) % 0.91/1.10 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nat_Osize_I3_J_0,axiom, % 0.91/1.10 c_Nat_Osize__class_Osize(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_le__0__eq_1,axiom, % 0.91/1.10 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__cancel2_1,axiom, % 0.91/1.10 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__cancel1_1,axiom, % 0.91/1.10 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_neq0__conv_1,axiom, % 0.91/1.10 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_liftn__0_0,axiom, % 0.91/1.10 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 0.91/1.10 % 0.91/1.10 cnf(cls_gr0I_0,axiom, % 0.91/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_Suc__neq__Zero_0,axiom, % 0.91/1.10 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.91/1.10 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_diffs0__imp__equal_0,axiom, % 0.91/1.10 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_m = V_n ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_le__0__eq_0,axiom, % 0.91/1.10 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__is__0_2,axiom, % 0.91/1.10 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__is__0_1,axiom, % 0.91/1.10 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__is__0_0,axiom, % 0.91/1.10 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_add__is__0_1,axiom, % 0.91/1.10 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_add__is__0_0,axiom, % 0.91/1.10 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_min__0R_0,axiom, % 0.91/1.10 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_min__0L_0,axiom, % 0.91/1.10 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__cancel2_0,axiom, % 0.91/1.10 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat) % 0.91/1.10 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_m = V_n ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_mult__cancel1_0,axiom, % 0.91/1.10 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.91/1.10 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.10 | V_m = V_n ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nat__mult__eq__cancel__disj_0,axiom, % 0.91/1.10 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.91/1.10 | V_m = V_n % 0.91/1.10 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_minus__nat_Odiff__0_0,axiom, % 0.91/1.10 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.91/1.10 % 0.91/1.10 cnf(cls_diff__self__eq__0_0,axiom, % 0.91/1.10 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.91/1.10 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat) % 0.91/1.10 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_add__eq__self__zero_0,axiom, % 0.91/1.10 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m % 0.91/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_Zero__neq__Suc_0,axiom, % 0.91/1.10 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.91/1.10 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nat__gcd_Osimps_0,axiom, % 0.91/1.10 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ). % 0.91/1.10 % 0.91/1.10 cnf(cls_nat_Osize_I1_J_0,axiom, % 0.91/1.10 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_char__size_0,axiom, % 0.91/1.10 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_add__is__0_2,axiom, % 0.91/1.10 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_gr__implies__not0_0,axiom, % 0.91/1.10 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_not__less0_0,axiom, % 0.91/1.10 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_bot__nat__def_0,axiom, % 0.91/1.10 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_drop__0_0,axiom, % 0.91/1.10 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ). % 0.91/1.10 % 0.91/1.10 cnf(cls_diff__0__eq__0_0,axiom, % 0.91/1.10 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_le0_0,axiom, % 0.91/1.10 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_size__char_0,axiom, % 0.91/1.10 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_replicate__eq__replicate_2,axiom, % 0.91/1.10 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_max__0R_0,axiom, % 0.91/1.10 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ). % 0.91/1.10 % 0.91/1.10 cnf(cls_max__0L_0,axiom, % 0.91/1.10 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.91/1.10 % 0.91/1.10 cnf(cls_replicate__eq__replicate_1,axiom, % 0.91/1.10 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.91/1.10 | V_x = V_y % 0.91/1.10 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.91/1.10 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.91/1.10 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.91/1.10 % 0.91/1.10 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.91/1.10 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.91/1.10 % 0.91/1.10 cnf(cls_subst__App_0,axiom, % 0.91/1.10 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_appR_0,axiom, % 0.91/1.10 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_u,V_s),c_Lambda_OdB_OApp(V_u,V_t)) % 0.91/1.10 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_appL_0,axiom, % 0.91/1.10 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_s,V_u),c_Lambda_OdB_OApp(V_t,V_u)) % 0.91/1.10 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 0.91/1.10 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Oliftn(V_n,V_s,V_k),c_Lambda_Oliftn(V_n,V_t,V_k)) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_substn_Osimps_I2_J_0,axiom, % 0.91/1.10 c_Lambda_Osubstn(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(V_t,V_s,V_k),c_Lambda_Osubstn(V_u,V_s,V_k)) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_subst__eq_0,axiom, % 0.91/1.10 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 0.91/1.10 % 0.91/1.10 cnf(cls_beta__cases_I1_J_0,axiom, % 0.91/1.10 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_subst__lift_0,axiom, % 0.91/1.10 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 0.91/1.10 % 0.91/1.10 cnf(cls_lift__preserves__beta_0,axiom, % 0.91/1.10 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i)) % 0.91/1.10 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_Var_I3_J_0,axiom, % 0.91/1.10 c_InductTermi_OIT(v_ua______) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_Lambda_0,axiom, % 0.91/1.10 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r)) % 0.91/1.10 | ~ c_InductTermi_OIT(V_r) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_power__eq__0__iff_2,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.10 | ~ class_Power_Opower(T_a) % 0.91/1.10 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_power__0__left_1,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.91/1.10 | ~ class_Power_Opower(T_a) % 0.91/1.10 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_power__eq__0__iff_1,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.10 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.10 | ~ class_Power_Opower(T_a) % 0.91/1.10 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_of__nat__0_0,axiom, % 0.91/1.10 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.10 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osize_I4_J_0,axiom, % 0.91/1.10 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osize_I1_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.91/1.10 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.10 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_subst__Var__IT_0,axiom, % 0.91/1.10 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)) % 0.91/1.10 | ~ c_InductTermi_OIT(V_r) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.91/1.10 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.91/1.10 | V_nat = V_nat_H ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.91/1.10 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) % 0.91/1.10 | V_dB1 = V_dB1_H ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.91/1.10 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) % 0.91/1.10 | V_dB2 = V_dB2_H ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_lift__IT_0,axiom, % 0.91/1.10 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) % 0.91/1.10 | ~ c_InductTermi_OIT(V_t) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_Var__IT_0,axiom, % 0.91/1.10 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.91/1.10 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_uIT_0,axiom, % 0.91/1.10 c_InductTermi_OIT(v_u____) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_app__Var__IT_0,axiom, % 0.91/1.10 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i))) % 0.91/1.10 | ~ c_InductTermi_OIT(V_t) ) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.91/1.10 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_CHAINED_0,axiom, % 0.91/1.10 c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.91/1.10 % 0.91/1.10 cnf(cls_conjecture_0,negated_conjecture, % 0.91/1.10 ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.91/1.10 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.91/1.10 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.91/1.10 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.91/1.10 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.91/1.10 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.91/1.10 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.91/1.10 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.91/1.10 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.91/1.10 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.91/1.10 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.91/1.10 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.91/1.10 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.91/1.10 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.91/1.10 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.91/1.10 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.91/1.10 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.91/1.10 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.91/1.10 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.91/1.10 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.91/1.10 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.91/1.10 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.91/1.10 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.91/1.10 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.91/1.10 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.91/1.10 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.91/1.10 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.91/1.10 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.91/1.10 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.91/1.10 class_Nat_Osemiring__char__0(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 0.91/1.10 class_Ring__and__Field_Odvd(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.91/1.10 class_Orderings_Opreorder(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.91/1.10 class_Orderings_Olinorder(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.91/1.10 class_Orderings_Oorder(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.91/1.10 class_Orderings_Obot(tc_nat) ). % 0.91/1.10 % 0.91/1.10 cnf(clsarity_nat__Power_Opower,axiom, % 0.91/1.10 class_Power_Opower(tc_nat) ). % 0.91/1.10 % 0.91/1.10 %------------------------------------------------------------------------------ % 0.91/1.10 %------------------------------------------- % 0.91/1.10 % Proof found % 0.91/1.10 % SZS status Theorem for theBenchmark % 0.91/1.10 % SZS output start Proof % 0.91/1.10 %ClaNum:1233(EqnAxiom:130) % 0.91/1.10 %VarNum:8231(SingletonVarNum:2656) % 0.91/1.10 %MaxLitNum:6 % 0.91/1.10 %MaxfuncDepth:4 % 0.91/1.10 %SharedTerms:65 % 0.91/1.10 %goalClause: 287 % 0.91/1.10 %singleGoalClaCount:1 % 0.91/1.10 [131]P1(a1) % 0.91/1.10 [132]P2(a1) % 0.91/1.10 [133]P33(a1) % 0.91/1.10 [134]P51(a1) % 0.91/1.10 [135]P3(a1) % 0.91/1.10 [136]P34(a1) % 0.91/1.10 [137]P4(a1) % 0.91/1.10 [138]P20(a1) % 0.91/1.10 [139]P24(a1) % 0.91/1.10 [140]P5(a1) % 0.91/1.10 [141]P38(a1) % 0.91/1.10 [142]P28(a1) % 0.91/1.10 [143]P6(a1) % 0.91/1.10 [144]P52(a1) % 0.91/1.10 [145]P29(a1) % 0.91/1.10 [146]P25(a1) % 0.91/1.10 [147]P31(a1) % 0.91/1.10 [148]P32(a1) % 0.91/1.10 [149]P14(a1) % 0.91/1.10 [150]P61(a1) % 0.91/1.10 [151]P53(a1) % 0.91/1.10 [152]P54(a1) % 0.91/1.10 [153]P16(a1) % 0.91/1.10 [154]P19(a1) % 0.91/1.10 [155]P30(a1) % 0.91/1.10 [156]P41(a1) % 0.91/1.10 [157]P42(a1) % 0.91/1.10 [158]P45(a1) % 0.91/1.10 [159]P55(a1) % 0.91/1.10 [160]P62(a1) % 0.91/1.10 [161]P46(a1) % 0.91/1.10 [162]P47(a1) % 0.91/1.10 [163]P17(a1) % 0.91/1.10 [164]P35(a1) % 0.91/1.10 [165]P21(a1) % 0.91/1.10 [166]P7(a31) % 0.91/1.10 [167]P7(a32) % 0.91/1.10 [168]E(f2(a1),f11(a1)) % 0.91/1.10 [169]E(f24(f2(a1)),f2(a1)) % 0.91/1.10 [177]P7(f17(a32,f2(a1))) % 0.91/1.10 [211]E(f8(f27(f2(a1)),f27(f2(a1)),a1),f27(f2(a1))) % 0.91/1.10 [287]~P7(f14(f17(a32,f2(a1)),f12(f2(a1)))) % 0.91/1.10 [179]P9(x1791,x1791,a1) % 0.91/1.10 [282]~P8(x2821,x2821,a1) % 0.91/1.10 [170]P7(f12(x1701)) % 0.91/1.10 [172]E(f16(x1721,a1),x1721) % 0.91/1.10 [173]E(f16(x1731,a29),f2(a1)) % 0.91/1.10 [180]E(f3(x1801,x1801,a1),f2(a1)) % 0.91/1.10 [181]P9(f2(a1),x1811,a1) % 0.91/1.10 [196]P8(x1961,f27(x1961),a1) % 0.91/1.10 [201]P8(f2(a1),f27(x2011),a1) % 0.91/1.10 [222]P9(x2221,f8(x2221,x2221,a1),a1) % 0.91/1.10 [269]~E(f27(x2691),x2691) % 0.91/1.10 [273]~E(f27(x2731),f2(a1)) % 0.91/1.10 [284]~P8(x2841,f2(a1),a1) % 0.91/1.10 [285]~P9(f27(x2851),x2851,a1) % 0.91/1.10 [171]E(f15(f12(x1711)),f2(a1)) % 0.91/1.10 [174]E(f23(x1741,f2(a1)),x1741) % 0.91/1.10 [176]E(f16(f12(x1761),a30),f2(a1)) % 0.91/1.10 [183]E(f6(x1831,f2(a1),a1),x1831) % 0.91/1.10 [184]E(f3(x1841,f2(a1),a1),x1841) % 0.91/1.10 [185]E(f25(x1851,f2(a1),a1),x1851) % 0.91/1.10 [186]E(f6(f2(a1),x1861,a1),x1861) % 0.91/1.10 [187]E(f25(f2(a1),x1871,a1),x1871) % 0.91/1.10 [190]E(f8(x1901,f2(a1),a1),f2(a1)) % 0.91/1.10 [191]E(f26(x1911,f2(a1),a1),f2(a1)) % 0.91/1.10 [192]E(f8(f2(a1),x1921,a1),f2(a1)) % 0.91/1.10 [193]E(f3(f2(a1),x1931,a1),f2(a1)) % 0.91/1.10 [194]E(f26(f2(a1),x1941,a1),f2(a1)) % 0.91/1.10 [258]P9(x2581,f8(x2581,f8(x2581,x2581,a1),a1),a1) % 0.91/1.10 [209]E(f6(f24(x2091),f27(f2(a1)),a1),f24(f27(x2091))) % 0.91/1.10 [210]E(f6(f15(x2101),f27(f2(a1)),a1),f15(f13(x2101))) % 0.91/1.10 [215]E(f6(f16(x2151,a1),f27(f2(a1)),a1),f16(f27(x2151),a1)) % 0.91/1.10 [216]E(f6(f16(x2161,a30),f27(f2(a1)),a1),f16(f13(x2161),a30)) % 0.91/1.10 [212]E(f8(x2121,x2122,a1),f8(x2122,x2121,a1)) % 0.91/1.10 [213]E(f6(x2131,x2132,a1),f6(x2132,x2131,a1)) % 0.91/1.10 [223]P9(x2231,f6(x2232,x2231,a1),a1) % 0.91/1.10 [225]P9(x2251,f6(x2251,x2252,a1),a1) % 0.91/1.10 [226]P9(f3(x2261,x2262,a1),x2261,a1) % 0.91/1.10 [230]P8(f3(x2301,x2302,a1),f27(x2301),a1) % 0.91/1.10 [275]~E(f13(x2751),f12(x2752)) % 0.91/1.10 [280]~P10(f12(x2801),x2802) % 0.91/1.10 [288]~P8(f6(x2881,x2882,a1),x2882,a1) % 0.91/1.10 [289]~P8(f6(x2891,x2892,a1),x2891,a1) % 0.91/1.10 [188]E(f18(f2(a1),x1881,x1882),x1881) % 0.91/1.10 [189]E(f19(f2(a1),x1891,x1892),x1891) % 0.91/1.10 [198]E(f20(f12(x1981),x1982,x1981),x1982) % 0.91/1.10 [217]E(f8(x2171,f2(a1),a1),f8(x2172,f2(a1),a1)) % 0.91/1.10 [218]E(f8(f2(a1),x2181,a1),f8(f2(a1),x2182,a1)) % 0.91/1.10 [220]E(f6(f27(x2201),x2202,a1),f6(x2201,f27(x2202),a1)) % 0.91/1.10 [221]E(f3(f27(x2211),f27(x2212),a1),f3(x2211,x2212,a1)) % 0.91/1.10 [227]E(f3(f6(x2271,x2272,a1),x2272,a1),x2271) % 0.91/1.10 [228]E(f3(f6(x2281,x2282,a1),x2281,a1),x2282) % 0.91/1.10 [229]E(f3(x2291,f6(x2291,x2292,a1),a1),f2(a1)) % 0.91/1.10 [231]P10(f14(f13(x2311),x2312),f20(x2311,x2312,f2(a1))) % 0.91/1.10 [232]E(f27(f6(x2321,x2322,a1)),f6(x2321,f27(x2322),a1)) % 0.91/1.10 [233]E(f27(f6(x2331,x2332,a1)),f6(f27(x2331),x2332,a1)) % 0.91/1.10 [234]E(f26(f27(x2341),f27(x2342),a1),f27(f26(x2341,x2342,a1))) % 0.91/1.10 [235]E(f25(f27(x2351),f27(x2352),a1),f27(f25(x2351,x2352,a1))) % 0.91/1.10 [237]E(f6(f3(x2371,x2372,a1),x2372,a1),f25(x2371,x2372,a1)) % 0.91/1.10 [238]E(f6(x2381,f8(x2381,x2382,a1),a1),f8(x2381,f27(x2382),a1)) % 0.91/1.10 [239]E(f6(x2391,f8(x2392,x2391,a1),a1),f8(f27(x2392),x2391,a1)) % 0.91/1.10 [241]E(f20(x2411,f18(f2(a1),x2412,f2(a1)),f2(a1)),f20(x2411,x2412,f2(a1))) % 0.91/1.10 [242]P8(x2421,f27(f6(x2422,x2421,a1)),a1) % 0.91/1.10 [244]P8(x2441,f27(f6(x2441,x2442,a1)),a1) % 0.91/1.10 [240]E(f6(f6(f15(x2401),f15(x2402),a1),f27(f2(a1)),a1),f15(f14(x2401,x2402))) % 0.91/1.10 [245]E(f6(f6(f16(x2451,a30),f16(x2452,a30),a1),f27(f2(a1)),a1),f16(f14(x2451,x2452),a30)) % 0.91/1.10 [276]~E(f12(x2761),f14(x2762,x2763)) % 0.91/1.10 [277]~E(f13(x2771),f14(x2772,x2773)) % 0.91/1.10 [278]~E(f14(x2781,x2782),f12(x2783)) % 0.91/1.10 [279]~E(f14(x2791,x2792),f13(x2793)) % 0.91/1.10 [208]E(f20(f17(x2081,x2082),x2083,x2082),x2081) % 0.91/1.10 [214]E(f14(f17(x2141,x2142),f17(x2143,x2142)),f17(f14(x2141,x2143),x2142)) % 0.91/1.10 [219]E(f21(f2(a1),x2191,x2192),f21(f2(a1),x2193,x2192)) % 0.91/1.10 [236]E(f17(f18(x2361,x2362,x2363),x2363),f18(f27(x2361),x2362,x2363)) % 0.91/1.10 [248]E(f6(x2481,f6(x2482,x2483,a1),a1),f6(x2482,f6(x2481,x2483,a1),a1)) % 0.91/1.10 [249]E(f8(f8(x2491,x2492,a1),x2493,a1),f8(x2491,f8(x2492,x2493,a1),a1)) % 0.91/1.10 [250]E(f6(f6(x2501,x2502,a1),x2503,a1),f6(x2501,f6(x2502,x2503,a1),a1)) % 0.91/1.10 [251]E(f3(f3(x2511,x2512,a1),x2513,a1),f3(x2511,f6(x2512,x2513,a1),a1)) % 0.91/1.10 [252]E(f3(f3(x2521,x2522,a1),x2523,a1),f3(f3(x2521,x2523,a1),x2522,a1)) % 0.91/1.10 [253]E(f3(f6(x2531,x2532,a1),f6(x2533,x2532,a1),a1),f3(x2531,x2533,a1)) % 0.91/1.10 [254]E(f3(f6(x2541,x2542,a1),f6(x2541,x2543,a1),a1),f3(x2542,x2543,a1)) % 0.91/1.10 [257]E(f3(f3(f27(x2571),x2572,a1),f27(x2573),a1),f3(f3(x2571,x2572,a1),x2573,a1)) % 0.91/1.10 [259]E(f6(f8(x2591,x2592,a1),f8(x2591,x2593,a1),a1),f8(x2591,f6(x2592,x2593,a1),a1)) % 0.91/1.10 [260]E(f3(f8(x2601,x2602,a1),f8(x2601,x2603,a1),a1),f8(x2601,f3(x2602,x2603,a1),a1)) % 0.91/1.10 [261]E(f6(f8(x2611,x2612,a1),f8(x2613,x2612,a1),a1),f8(f6(x2611,x2613,a1),x2612,a1)) % 0.91/1.10 [262]E(f3(f8(x2621,x2622,a1),f8(x2623,x2622,a1),a1),f8(f3(x2621,x2623,a1),x2622,a1)) % 0.91/1.10 [263]E(f26(f3(x2631,x2632,a1),f3(x2633,x2632,a1),a1),f3(f26(x2631,x2633,a1),x2632,a1)) % 0.91/1.10 [246]E(f14(f18(x2461,x2462,x2463),f18(x2461,x2464,x2463)),f18(x2461,f14(x2462,x2464),x2463)) % 0.91/1.10 [247]E(f14(f20(x2471,x2472,x2473),f20(x2474,x2472,x2473)),f20(f14(x2471,x2474),x2472,x2473)) % 0.91/1.10 [255]E(f19(x2551,f21(x2552,x2553,x2554),x2554),f21(f3(x2552,x2551,a1),x2553,x2554)) % 0.91/1.10 [256]E(f19(x2561,f19(x2562,x2563,x2564),x2564),f19(f6(x2561,x2562,a1),x2563,x2564)) % 0.91/1.10 [266]E(f6(f8(x2661,x2662,a1),f6(f8(x2663,x2662,a1),x2664,a1),a1),f6(f8(f6(x2661,x2663,a1),x2662,a1),x2664,a1)) % 0.91/1.10 [294]~P7(x2941)+P7(f13(x2941)) % 0.91/1.10 [296]~P62(x2961)+~E(f7(x2961),f2(x2961)) % 0.91/1.10 [329]E(x3291,f2(a1))+P8(f2(a1),x3291,a1) % 0.91/1.10 [374]~P33(x3741)+P8(f2(x3741),f7(x3741),x3741) % 0.91/1.10 [375]~P33(x3751)+P9(f2(x3751),f7(x3751),x3751) % 0.91/1.10 [401]E(x4011,f2(a1))+~P9(x4011,f2(a1),a1) % 0.91/1.10 [442]~P33(x4421)+~P8(f7(x4421),f2(x4421),x4421) % 0.91/1.10 [443]~P33(x4431)+~P9(f7(x4431),f2(x4431),x4431) % 0.91/1.10 [297]~P61(x2971)+E(f22(f2(a1),x2971),f2(x2971)) % 0.91/1.10 [299]~P26(x2991)+E(f10(f2(x2991),x2991),f2(x2991)) % 0.91/1.10 [300]~P22(x3001)+E(f10(f2(x3001),x3001),f2(x3001)) % 0.91/1.10 [301]~P39(x3011)+E(f4(f2(x3011),x3011),f2(x3011)) % 0.91/1.10 [302]~P40(x3021)+E(f4(f7(x3021),x3021),f7(x3021)) % 0.91/1.10 [303]~P48(x3031)+E(f9(f2(x3031),x3031),f2(x3031)) % 0.91/1.10 [304]~P63(x3041)+E(f9(f2(x3041),x3041),f2(x3041)) % 0.91/1.10 [377]~P23(x3771)+E(f6(f2(x3771),f2(x3771),x3771),f2(x3771)) % 0.91/1.10 [424]E(x4241,f2(a1))+~P8(x4241,f27(f2(a1)),a1) % 0.91/1.10 [629]~P33(x6291)+P8(f2(x6291),f6(f7(x6291),f7(x6291),x6291),x6291) % 0.91/1.10 [811]~P50(x8111)+E(f6(f8(f2(x8111),f2(x8111),x8111),f8(f2(x8111),f2(x8111),x8111),x8111),f2(x8111)) % 0.91/1.10 [1178]~P50(x11781)+P9(f6(f8(f2(x11781),f2(x11781),x11781),f8(f2(x11781),f2(x11781),x11781),x11781),f2(x11781),x11781) % 0.91/1.10 [1211]~P50(x12111)+~P8(f2(x12111),f6(f8(f2(x12111),f2(x12111),x12111),f8(f2(x12111),f2(x12111),x12111),x12111),x12111) % 0.91/1.10 [669]~P8(f2(a1),x6691,a1)+E(f27(f3(x6691,f27(f2(a1)),a1)),x6691) % 0.91/1.10 [332]~P31(x3322)+P9(x3321,x3321,x3322) % 0.91/1.10 [333]~P32(x3332)+P9(x3331,x3331,x3332) % 0.91/1.10 [334]~P34(x3342)+P11(x3341,x3341,x3342) % 0.91/1.10 [403]~P8(x4032,x4032,x4031)+~P3(x4031) % 0.91/1.10 [404]~P8(x4042,x4042,x4041)+~P31(x4041) % 0.91/1.10 [405]~P8(x4052,x4052,x4051)+~P32(x4051) % 0.91/1.10 [423]P9(x4232,x4231,a1)+P9(x4231,x4232,a1) % 0.91/1.10 [478]~P8(x4781,x4782,a1)+P9(x4781,x4782,a1) % 0.91/1.10 [291]E(x2911,x2912)+~E(f27(x2911),f27(x2912)) % 0.91/1.10 [292]E(x2921,x2922)+~E(f12(x2921),f12(x2922)) % 0.91/1.10 [293]E(x2931,x2932)+~E(f13(x2931),f13(x2932)) % 0.91/1.10 [306]~P7(x3061)+P7(f17(x3061,x3062)) % 0.91/1.10 [322]~P10(x3221,x3222)+P10(f13(x3221),f13(x3222)) % 0.91/1.10 [335]~P18(x3352)+E(f8(x3351,x3351,x3352),x3351) % 0.91/1.10 [336]~P3(x3362)+E(f26(x3361,x3361,x3362),x3361) % 0.91/1.10 [337]~P3(x3372)+E(f25(x3371,x3371,x3372),x3371) % 0.91/1.10 [340]~P22(x3402)+E(f3(x3401,x3401,x3402),f2(x3402)) % 0.91/1.10 [341]~P15(x3412)+E(f3(x3411,x3411,x3412),f2(x3412)) % 0.91/1.10 [342]~P34(x3422)+P11(x3421,f2(x3422),x3422) % 0.91/1.10 [343]~P28(x3431)+P9(f11(x3431),x3432,x3431) % 0.91/1.10 [344]~P34(x3441)+P11(f7(x3441),x3442,x3441) % 0.91/1.10 [390]~E(f6(x3902,x3901,a1),x3902)+E(x3901,f2(a1)) % 0.91/1.10 [395]E(x3951,f2(a1))+~E(f6(x3952,x3951,a1),f2(a1)) % 0.91/1.10 [396]E(x3961,f2(a1))+~E(f6(x3961,x3962,a1),f2(a1)) % 0.91/1.10 [407]~P33(x4071)+P9(f2(x4071),f22(x4072,x4071),x4071) % 0.91/1.10 [444]P8(x4441,x4442,a1)+P8(x4442,f27(x4441),a1) % 0.91/1.10 [446]P9(x4461,x4462,a1)+P9(f27(x4462),x4461,a1) % 0.91/1.10 [480]~P9(x4801,x4802,a1)+E(f3(x4801,x4802,a1),f2(a1)) % 0.91/1.10 [484]P9(x4841,x4842,a1)+~E(f3(x4841,x4842,a1),f2(a1)) % 0.91/1.10 [491]~P8(x4911,x4912,a1)+P8(x4911,f27(x4912),a1) % 0.91/1.10 [492]~P9(x4921,x4922,a1)+P8(x4921,f27(x4922),a1) % 0.91/1.10 [494]~P9(x4941,x4942,a1)+P9(x4941,f27(x4942),a1) % 0.91/1.10 [496]~P8(x4961,x4962,a1)+P9(f27(x4961),x4962,a1) % 0.91/1.10 [497]~P33(x4971)+~P8(f22(x4972,x4971),f2(x4971),x4971) % 0.91/1.10 [498]P9(x4981,x4982,a1)+~P8(x4981,f27(x4982),a1) % 0.91/1.10 [499]P8(x4991,x4992,a1)+~P8(f27(x4991),x4992,a1) % 0.91/1.10 [501]P8(x5011,x5012,a1)+~P9(f27(x5011),x5012,a1) % 0.91/1.10 [502]P9(x5021,x5022,a1)+~P9(f27(x5021),x5022,a1) % 0.91/1.10 [517]~P8(x5171,x5172,a1)+P8(f27(x5171),f27(x5172),a1) % 0.91/1.10 [518]~P9(x5181,x5182,a1)+P9(f27(x5181),f27(x5182),a1) % 0.91/1.10 [530]P8(x5301,x5302,a1)+~P8(f27(x5301),f27(x5302),a1) % 0.91/1.10 [531]P9(x5311,x5312,a1)+~P9(f27(x5311),f27(x5312),a1) % 0.91/1.10 [557]~P50(x5571)+P9(f2(x5571),f8(x5572,x5572,x5571),x5571) % 0.91/1.10 [562]~P8(x5621,x5622,a1)+~P8(x5622,f27(x5621),a1) % 0.91/1.10 [563]~P9(x5631,x5632,a1)+~P9(f27(x5632),x5631,a1) % 0.91/1.10 [713]~P8(x7132,x7131,a1)+P8(f2(a1),f3(x7131,x7132,a1),a1) % 0.91/1.10 [751]~P50(x7511)+~P8(f8(x7512,x7512,x7511),f2(x7511),x7511) % 0.91/1.10 [779]P8(x7791,x7792,a1)+~P8(f2(a1),f3(x7792,x7791,a1),a1) % 0.91/1.10 [780]P8(f2(a1),x7801,a1)+~P8(f2(a1),f8(x7802,x7801,a1),a1) % 0.91/1.10 [781]P8(f2(a1),x7811,a1)+~P8(f2(a1),f8(x7811,x7812,a1),a1) % 0.91/1.10 [318]~P22(x3182)+E(f10(f10(x3181,x3182),x3182),x3181) % 0.91/1.10 [319]~P12(x3192)+E(f10(f10(x3191,x3192),x3192),x3191) % 0.91/1.10 [323]~P7(x3231)+P7(f14(x3231,f12(x3232))) % 0.91/1.10 [331]~P48(x3312)+E(f9(f9(x3311,x3312),x3312),f9(x3311,x3312)) % 0.91/1.10 [345]~P34(x3452)+E(f8(x3451,f7(x3452),x3452),x3451) % 0.91/1.10 [346]~P20(x3462)+E(f8(x3461,f7(x3462),x3462),x3461) % 0.91/1.10 [347]~P34(x3472)+E(f6(x3471,f2(x3472),x3472),x3471) % 0.91/1.10 [348]~P5(x3482)+E(f6(x3481,f2(x3482),x3482),x3481) % 0.91/1.10 [349]~P21(x3492)+E(f6(x3491,f2(x3492),x3492),x3491) % 0.91/1.10 [350]~P22(x3502)+E(f3(x3501,f2(x3502),x3502),x3501) % 0.91/1.10 [351]~P43(x3512)+E(f5(x3511,f7(x3512),x3512),x3511) % 0.91/1.10 [353]~P34(x3531)+E(f8(f7(x3531),x3532,x3531),x3532) % 0.91/1.10 [354]~P4(x3541)+E(f8(f7(x3541),x3542,x3541),x3542) % 0.91/1.10 [355]~P20(x3551)+E(f8(f7(x3551),x3552,x3551),x3552) % 0.91/1.10 [357]~P34(x3571)+E(f6(f2(x3571),x3572,x3571),x3572) % 0.91/1.10 [358]~P5(x3581)+E(f6(f2(x3581),x3582,x3581),x3582) % 0.91/1.10 [359]~P21(x3591)+E(f6(f2(x3591),x3592,x3591),x3592) % 0.91/1.10 [360]~P2(x3602)+E(f28(x3601,f2(a1),x3602),f7(x3602)) % 0.91/1.10 [361]~P34(x3612)+E(f28(x3611,f2(a1),x3612),f7(x3612)) % 0.91/1.10 [364]~P34(x3642)+E(f8(x3641,f2(x3642),x3642),f2(x3642)) % 0.91/1.10 [365]~P47(x3652)+E(f8(x3651,f2(x3652),x3652),f2(x3652)) % 0.91/1.10 [366]~P57(x3662)+E(f8(x3661,f2(x3662),x3662),f2(x3662)) % 0.91/1.10 [368]~P34(x3681)+E(f8(f2(x3681),x3682,x3681),f2(x3681)) % 0.91/1.10 [369]~P47(x3691)+E(f8(f2(x3691),x3692,x3691),f2(x3691)) % 0.91/1.10 [370]~P57(x3701)+E(f8(f2(x3701),x3702,x3701),f2(x3701)) % 0.91/1.10 [371]~P20(x3711)+E(f28(f7(x3711),x3712,x3711),f7(x3711)) % 0.91/1.10 [372]~P43(x3721)+E(f5(f2(x3721),x3722,x3721),f2(x3721)) % 0.91/1.10 [382]~P43(x3821)+E(f5(f7(x3821),x3822,x3821),f4(x3822,x3821)) % 0.91/1.10 [383]~P22(x3831)+E(f3(f2(x3831),x3832,x3831),f10(x3832,x3831)) % 0.91/1.10 [397]~P22(x3972)+E(f6(x3971,f10(x3971,x3972),x3972),f2(x3972)) % 0.91/1.10 [399]~P22(x3992)+E(f6(f10(x3991,x3992),x3991,x3992),f2(x3992)) % 0.91/1.10 [400]~P15(x4002)+E(f6(f10(x4001,x4002),x4001,x4002),f2(x4002)) % 0.91/1.10 [419]E(x4191,f27(f2(a1)))+~E(f8(x4192,x4191,a1),f27(f2(a1))) % 0.91/1.10 [420]E(x4201,f27(f2(a1)))+~E(f8(x4201,x4202,a1),f27(f2(a1))) % 0.91/1.10 [432]~P8(x4321,x4322,a1)+E(f17(f12(x4321),x4322),f12(x4321)) % 0.91/1.10 [448]~P61(x4481)+E(f6(f7(x4481),f22(x4482,x4481),x4481),f22(f27(x4482),x4481)) % 0.91/1.10 [534]~P44(x5342)+E(f8(f10(x5341,x5342),f10(x5341,x5342),x5342),f8(x5341,x5341,x5342)) % 0.91/1.10 [579]~P33(x5792)+P8(x5791,f6(x5791,f7(x5792),x5792),x5792) % 0.91/1.10 [645]P8(x6452,x6451,a1)+E(f6(x6451,f3(x6452,x6451,a1),a1),x6452) % 0.91/1.10 [710]~P9(x7101,x7102,a1)+E(f6(x7101,f3(x7102,x7101,a1),a1),x7102) % 0.91/1.10 [711]~P9(x7112,x7111,a1)+E(f3(x7111,f3(x7111,x7112,a1),a1),x7112) % 0.91/1.10 [712]~P9(x7122,x7121,a1)+E(f6(f3(x7121,x7122,a1),x7122,a1),x7121) % 0.91/1.10 [719]~P9(x7192,x7191,a1)+E(f27(f3(x7191,x7192,a1)),f3(f27(x7191),x7192,a1)) % 0.91/1.10 [740]~P8(f2(a1),x7401,a1)+P8(f3(x7401,f27(x7402),a1),x7401,a1) % 0.91/1.10 [833]P9(f27(f2(a1)),x8331,a1)+~P9(f27(f2(a1)),f8(x8332,x8331,a1),a1) % 0.91/1.10 [834]P9(f27(f2(a1)),x8341,a1)+~P9(f27(f2(a1)),f8(x8341,x8342,a1),a1) % 0.91/1.10 [447]~P13(x4471)+E(f8(f10(f7(x4471),x4471),x4472,x4471),f10(x4472,x4471)) % 0.91/1.10 [715]~P34(x7152)+E(f6(x7151,x7151,x7152),f8(f6(f7(x7152),f7(x7152),x7152),x7151,x7152)) % 0.91/1.10 [391]~P10(x3911,x3913)+P10(f17(x3911,x3912),f17(x3913,x3912)) % 0.91/1.10 [392]~P10(x3921,x3923)+P10(f14(x3921,x3922),f14(x3923,x3922)) % 0.91/1.10 [393]~P10(x3932,x3933)+P10(f14(x3931,x3932),f14(x3931,x3933)) % 0.91/1.10 [454]~P34(x4543)+E(f8(x4541,x4542,x4543),f8(x4542,x4541,x4543)) % 0.91/1.10 [456]~P34(x4563)+E(f6(x4561,x4562,x4563),f6(x4562,x4561,x4563)) % 0.91/1.10 [457]~P5(x4573)+E(f6(x4571,x4572,x4573),f6(x4572,x4571,x4573)) % 0.91/1.10 [458]~P3(x4583)+E(f26(x4581,x4582,x4583),f26(x4582,x4581,x4583)) % 0.91/1.10 [459]~P3(x4593)+E(f25(x4591,x4592,x4593),f25(x4592,x4591,x4593)) % 0.91/1.10 [536]E(x5361,x5362)+~E(f6(x5363,x5361,a1),f6(x5363,x5362,a1)) % 0.91/1.10 [537]E(x5371,x5372)+~E(f6(x5371,x5373,a1),f6(x5372,x5373,a1)) % 0.91/1.10 [538]~P3(x5383)+P9(x5381,f25(x5382,x5381,x5383),x5383) % 0.91/1.10 [539]~P3(x5393)+P9(x5391,f25(x5391,x5392,x5393),x5393) % 0.91/1.10 [540]~P34(x5403)+P11(x5401,f8(x5402,x5401,x5403),x5403) % 0.91/1.10 [541]~P34(x5413)+P11(x5411,f8(x5411,x5412,x5413),x5413) % 0.91/1.10 [542]~P38(x5423)+P11(x5421,f8(x5421,x5422,x5423),x5423) % 0.91/1.10 [543]~P3(x5433)+P9(f26(x5431,x5432,x5433),x5432,x5433) % 0.91/1.10 [544]~P3(x5443)+P9(f26(x5441,x5442,x5443),x5441,x5443) % 0.91/1.10 [700]~P8(x7001,x7003,a1)+P8(x7001,f6(x7002,x7003,a1),a1) % 0.91/1.10 [702]~P8(x7021,x7022,a1)+P8(x7021,f6(x7022,x7023,a1),a1) % 0.91/1.10 [704]~P9(x7041,x7043,a1)+P9(x7041,f6(x7042,x7043,a1),a1) % 0.91/1.10 [706]~P9(x7061,x7062,a1)+P9(x7061,f6(x7062,x7063,a1),a1) % 0.91/1.10 [707]~P8(x7071,x7073,a1)+P8(f3(x7071,x7072,a1),x7073,a1) % 0.91/1.10 [774]P8(x7741,x7742,a1)+~P8(f6(x7741,x7743,a1),x7742,a1) % 0.91/1.10 [775]P9(x7751,x7752,a1)+~P9(f6(x7753,x7751,a1),x7752,a1) % 0.91/1.10 [776]P9(x7761,x7762,a1)+~P9(f6(x7761,x7763,a1),x7762,a1) % 0.91/1.10 [797]P9(f8(x7972,x7971,a1),f8(x7973,x7971,a1),a1)+P8(f2(a1),x7971,a1) % 0.91/1.10 [798]P9(f8(x7981,x7982,a1),f8(x7981,x7983,a1),a1)+P8(f2(a1),x7981,a1) % 0.91/1.10 [858]~P8(x8581,x8583,a1)+P8(f6(x8581,x8582,a1),f6(x8583,x8582,a1),a1) % 0.91/1.10 [859]~P8(x8592,x8593,a1)+P8(f6(x8591,x8592,a1),f6(x8591,x8593,a1),a1) % 0.91/1.10 [861]~P9(x8611,x8613,a1)+P9(f8(x8611,x8612,a1),f8(x8613,x8612,a1),a1) % 0.91/1.10 [863]~P9(x8632,x8633,a1)+P9(f8(x8631,x8632,a1),f8(x8631,x8633,a1),a1) % 0.91/1.10 [864]~P9(x8641,x8643,a1)+P9(f6(x8641,x8642,a1),f6(x8643,x8642,a1),a1) % 0.91/1.10 [865]~P9(x8652,x8653,a1)+P9(f6(x8651,x8652,a1),f6(x8651,x8653,a1),a1) % 0.91/1.10 [866]~P9(x8661,x8663,a1)+P9(f3(x8661,x8662,a1),f3(x8663,x8662,a1),a1) % 0.91/1.10 [867]~P9(x8673,x8672,a1)+P9(f3(x8671,x8672,a1),f3(x8671,x8673,a1),a1) % 0.91/1.10 [982]~P8(f6(x9821,x9823,a1),x9822,a1)+P8(x9821,f3(x9822,x9823,a1),a1) % 0.91/1.10 [983]~P9(f3(x9831,x9833,a1),x9832,a1)+P9(x9831,f6(x9832,x9833,a1),a1) % 0.91/1.10 [984]~P8(x9841,f3(x9843,x9842,a1),a1)+P8(f6(x9841,x9842,a1),x9843,a1) % 0.91/1.10 [985]~P9(x9851,f6(x9853,x9852,a1),a1)+P9(f3(x9851,x9852,a1),x9853,a1) % 0.91/1.10 [1062]P8(x10621,x10622,a1)+~P8(f8(x10623,x10621,a1),f8(x10623,x10622,a1),a1) % 0.91/1.10 [1063]P8(x10631,x10632,a1)+~P8(f8(x10631,x10633,a1),f8(x10632,x10633,a1),a1) % 0.91/1.10 [1064]P8(x10641,x10642,a1)+~P8(f6(x10643,x10641,a1),f6(x10643,x10642,a1),a1) % 0.91/1.10 [1065]P9(x10651,x10652,a1)+~P9(f6(x10653,x10651,a1),f6(x10653,x10652,a1),a1) % 0.91/1.10 [1068]~P8(f8(x10682,x10681,a1),f8(x10683,x10681,a1),a1)+P8(f2(a1),x10681,a1) % 0.91/1.10 [1069]~P8(f8(x10691,x10692,a1),f8(x10691,x10693,a1),a1)+P8(f2(a1),x10691,a1) % 0.91/1.10 [476]~P7(x4761)+P7(f20(x4761,f12(x4762),x4763)) % 0.91/1.10 [485]~P13(x4853)+E(f6(x4851,f10(x4852,x4853),x4853),f3(x4851,x4852,x4853)) % 0.91/1.10 [486]~P22(x4863)+E(f6(x4861,f10(x4862,x4863),x4863),f3(x4861,x4862,x4863)) % 0.91/1.10 [488]~P15(x4883)+E(f6(x4881,f10(x4882,x4883),x4883),f3(x4881,x4882,x4883)) % 0.91/1.10 [489]~P43(x4893)+E(f8(x4891,f4(x4892,x4893),x4893),f5(x4891,x4892,x4893)) % 0.91/1.10 [490]~P22(x4903)+E(f3(x4901,f10(x4902,x4903),x4903),f6(x4901,x4902,x4903)) % 0.91/1.10 [505]~P8(x5052,x5053,a1)+E(f18(x5051,f12(x5052),x5053),f12(x5052)) % 0.91/1.10 [506]~P8(x5061,x5063,a1)+E(f20(f12(x5061),x5062,x5063),f12(x5061)) % 0.91/1.10 [532]~P59(x5322)+E(f8(f10(x5321,x5322),x5323,x5322),f8(x5321,f10(x5323,x5322),x5322)) % 0.91/1.10 [533]~P59(x5332)+E(f8(f10(x5331,x5332),f10(x5333,x5332),x5332),f8(x5331,x5333,x5332)) % 0.91/1.10 [545]~P3(x5453)+E(f26(x5451,f25(x5451,x5452,x5453),x5453),x5451) % 0.91/1.10 [546]~P3(x5463)+E(f25(x5461,f26(x5461,x5462,x5463),x5463),x5461) % 0.91/1.10 [547]~P22(x5473)+E(f6(f3(x5471,x5472,x5473),x5472,x5473),x5471) % 0.91/1.10 [548]~P22(x5483)+E(f3(f6(x5481,x5482,x5483),x5482,x5483),x5481) % 0.91/1.10 [587]~P15(x5873)+E(f10(f3(x5871,x5872,x5873),x5873),f3(x5872,x5871,x5873)) % 0.91/1.10 [596]E(x5961,x5962)+~E(f8(f27(x5963),x5961,a1),f8(f27(x5963),x5962,a1)) % 0.91/1.10 [616]~P15(x6162)+E(f6(f10(x6161,x6162),f6(x6163,x6161,x6162),x6162),x6163) % 0.91/1.10 [617]~P22(x6172)+E(f6(f10(x6171,x6172),f6(x6171,x6173,x6172),x6172),x6173) % 0.91/1.10 [640]~P59(x6403)+E(f8(x6401,f10(x6402,x6403),x6403),f10(f8(x6401,x6402,x6403),x6403)) % 0.91/1.10 [641]~P59(x6412)+E(f8(f10(x6411,x6412),x6413,x6412),f10(f8(x6411,x6413,x6412),x6412)) % 0.91/1.10 [642]~P43(x6422)+E(f5(f10(x6421,x6422),x6423,x6422),f10(f5(x6421,x6423,x6422),x6422)) % 0.91/1.10 [668]P8(x6682,x6683,a1)+E(f18(x6681,f12(x6682),x6683),f12(f6(x6682,x6681,a1))) % 0.91/1.10 [670]~P18(x6703)+E(f8(x6701,f8(x6701,x6702,x6703),x6703),f8(x6701,x6702,x6703)) % 0.91/1.10 [671]~P3(x6713)+E(f26(x6711,f26(x6711,x6712,x6713),x6713),f26(x6711,x6712,x6713)) % 0.91/1.10 [672]~P3(x6723)+E(f25(x6721,f25(x6721,x6722,x6723),x6723),f25(x6721,x6722,x6723)) % 0.91/1.10 [676]~P2(x6763)+E(f8(x6761,f28(x6761,x6762,x6763),x6763),f28(x6761,f27(x6762),x6763)) % 0.91/1.10 [679]~P20(x6793)+E(f8(f28(x6791,x6792,x6793),x6791,x6793),f28(x6791,f27(x6792),x6793)) % 0.91/1.10 [680]~P34(x6803)+E(f8(x6801,f28(x6801,x6802,x6803),x6803),f28(x6801,f27(x6802),x6803)) % 0.91/1.10 [681]~P34(x6813)+E(f8(f28(x6811,x6812,x6813),x6811,x6813),f28(x6811,f27(x6812),x6813)) % 0.91/1.10 [684]~P61(x6842)+E(f8(f22(x6841,x6842),f22(x6843,x6842),x6842),f22(f8(x6841,x6843,a1),x6842)) % 0.91/1.10 [685]~P61(x6852)+E(f6(f22(x6851,x6852),f22(x6853,x6852),x6852),f22(f6(x6851,x6853,a1),x6852)) % 0.91/1.10 [687]~P22(x6872)+E(f6(f10(x6871,x6872),f10(x6873,x6872),x6872),f10(f6(x6873,x6871,x6872),x6872)) % 0.91/1.10 [688]~P15(x6882)+E(f6(f10(x6881,x6882),f10(x6883,x6882),x6882),f10(f6(x6881,x6883,x6882),x6882)) % 0.91/1.10 [689]~P48(x6892)+E(f8(f9(x6891,x6892),f9(x6893,x6892),x6892),f9(f8(x6891,x6893,x6892),x6892)) % 0.91/1.10 [772]~P44(x7722)+P11(f8(x7721,f2(x7722),x7722),f8(x7723,f2(x7722),x7722),x7722) % 0.91/1.10 [773]~P44(x7731)+P11(f8(f2(x7731),x7732,x7731),f8(f2(x7731),x7733,x7731),x7731) % 0.91/1.10 [825]~P20(x8253)+E(f8(f28(x8251,x8252,x8253),x8251,x8253),f8(x8251,f28(x8251,x8252,x8253),x8253)) % 0.91/1.10 [930]~P8(x9302,x9303,a1)+P8(f8(f27(x9301),x9302,a1),f8(f27(x9301),x9303,a1),a1) % 0.91/1.10 [961]~P9(x9612,x9613,a1)+E(f3(f6(x9611,x9612,a1),x9613,a1),f3(x9611,f3(x9613,x9612,a1),a1)) % 0.91/1.10 [962]~P9(x9623,x9622,a1)+E(f3(f6(x9621,x9622,a1),x9623,a1),f6(x9621,f3(x9622,x9623,a1),a1)) % 0.91/1.10 [964]~P9(x9643,x9641,a1)+E(f3(f6(x9641,x9642,a1),x9643,a1),f6(f3(x9641,x9643,a1),x9642,a1)) % 0.91/1.10 [994]~P60(x9941)+E(f8(f28(f10(f7(x9941),x9941),x9942,x9941),f28(x9943,x9942,x9941),x9941),f28(f10(x9943,x9941),x9942,x9941)) % 0.91/1.10 [1029]~P9(x10293,x10292,a1)+P9(x10291,f3(f6(x10292,x10291,a1),x10293,a1),a1) % 0.91/1.10 [1082]P9(x10821,x10822,a1)+~P9(f8(f27(x10823),x10821,a1),f8(f27(x10823),x10822,a1),a1) % 0.91/1.10 [1160]~P50(x11601)+P9(f2(x11601),f6(f8(x11602,x11602,x11601),f8(x11603,x11603,x11601),x11601),x11601) % 0.91/1.10 [1204]~P50(x12041)+~P8(f6(f8(x12042,x12042,x12041),f8(x12043,x12043,x12041),x12041),f2(x12041),x12041) % 0.91/1.10 [667]~P22(x6672)+E(f6(x6671,f6(f10(x6671,x6672),x6673,x6672),x6672),x6673) % 0.91/1.10 [854]~P34(x8543)+E(f6(x8541,f8(x8542,x8541,x8543),x8543),f8(f6(x8542,f7(x8543),x8543),x8541,x8543)) % 0.91/1.10 [855]~P34(x8553)+E(f6(f8(x8551,x8552,x8553),x8552,x8553),f8(f6(x8551,f7(x8553),x8553),x8552,x8553)) % 0.91/1.10 [1087]~P9(x10872,x10873,a1)+E(f3(f6(x10871,x10872,a1),f27(x10873),a1),f3(x10871,f27(f3(x10873,x10872,a1)),a1)) % 0.91/1.10 [1088]~P9(x10882,x10881,a1)+E(f3(f27(f3(x10881,x10882,a1)),x10883,a1),f3(f27(x10881),f6(x10882,x10883,a1),a1)) % 0.91/1.10 [313]E(x3131,x3132)+~E(f14(x3133,x3131),f14(x3134,x3132)) % 0.91/1.10 [314]E(x3141,x3142)+~E(f14(x3141,x3143),f14(x3142,x3144)) % 0.91/1.10 [718]~P10(x7181,x7184)+P10(f20(x7181,x7182,x7183),f20(x7184,x7182,x7183)) % 0.91/1.10 [809]~P34(x8093)+E(f28(f28(x8091,x8092,x8093),x8094,x8093),f28(x8091,f8(x8092,x8094,a1),x8093)) % 0.91/1.10 [810]~P20(x8103)+E(f28(f28(x8101,x8102,x8103),x8104,x8103),f28(x8101,f8(x8102,x8104,a1),x8103)) % 0.91/1.10 [813]~P34(x8134)+E(f8(x8131,f8(x8132,x8133,x8134),x8134),f8(x8132,f8(x8131,x8133,x8134),x8134)) % 0.91/1.10 [814]~P34(x8144)+E(f6(x8141,f6(x8142,x8143,x8144),x8144),f6(x8142,f6(x8141,x8143,x8144),x8144)) % 0.91/1.10 [815]~P5(x8154)+E(f6(x8151,f6(x8152,x8153,x8154),x8154),f6(x8152,f6(x8151,x8153,x8154),x8154)) % 0.91/1.10 [816]~P15(x8164)+E(f6(x8161,f6(x8162,x8163,x8164),x8164),f6(x8162,f6(x8161,x8163,x8164),x8164)) % 0.91/1.10 [817]~P3(x8174)+E(f26(x8171,f26(x8172,x8173,x8174),x8174),f26(x8172,f26(x8171,x8173,x8174),x8174)) % 0.91/1.10 [818]~P3(x8184)+E(f25(x8181,f25(x8182,x8183,x8184),x8184),f25(x8182,f25(x8181,x8183,x8184),x8184)) % 0.91/1.10 [823]~P34(x8233)+E(f8(f8(x8231,x8232,x8233),x8234,x8233),f8(x8231,f8(x8232,x8234,x8233),x8233)) % 0.91/1.10 [824]~P17(x8243)+E(f8(f8(x8241,x8242,x8243),x8244,x8243),f8(x8241,f8(x8242,x8244,x8243),x8243)) % 0.91/1.10 [826]~P34(x8263)+E(f6(f6(x8261,x8262,x8263),x8264,x8263),f6(x8261,f6(x8262,x8264,x8263),x8263)) % 0.91/1.10 [827]~P5(x8273)+E(f6(f6(x8271,x8272,x8273),x8274,x8273),f6(x8271,f6(x8272,x8274,x8273),x8273)) % 0.91/1.10 [828]~P14(x8283)+E(f6(f6(x8281,x8282,x8283),x8284,x8283),f6(x8281,f6(x8282,x8284,x8283),x8283)) % 0.91/1.10 [829]~P3(x8293)+E(f26(f26(x8291,x8292,x8293),x8294,x8293),f26(x8291,f26(x8292,x8294,x8293),x8293)) % 0.91/1.10 [830]~P3(x8303)+E(f25(f25(x8301,x8302,x8303),x8304,x8303),f25(x8301,f25(x8302,x8304,x8303),x8303)) % 0.91/1.10 [831]~P34(x8313)+E(f8(f8(x8311,x8312,x8313),x8314,x8313),f8(f8(x8311,x8314,x8313),x8312,x8313)) % 0.91/1.10 [832]~P34(x8323)+E(f6(f6(x8321,x8322,x8323),x8324,x8323),f6(f6(x8321,x8324,x8323),x8322,x8323)) % 0.91/1.10 [1001]~P20(x10013)+E(f8(f28(x10011,x10012,x10013),f28(x10011,x10014,x10013),x10013),f28(x10011,f6(x10012,x10014,a1),x10013)) % 0.91/1.10 [1002]~P34(x10023)+E(f8(f28(x10021,x10022,x10023),f28(x10021,x10024,x10023),x10023),f28(x10021,f6(x10022,x10024,a1),x10023)) % 0.91/1.10 [1003]~P34(x10033)+E(f6(f8(x10031,x10032,x10033),f8(x10031,x10034,x10033),x10033),f8(x10031,f6(x10032,x10034,x10033),x10033)) % 0.91/1.10 [1004]~P3(x10043)+E(f25(f26(x10041,x10042,x10043),f26(x10041,x10044,x10043),x10043),f26(x10041,f25(x10042,x10044,x10043),x10043)) % 0.91/1.10 [1005]~P3(x10053)+E(f26(f25(x10051,x10052,x10053),f25(x10051,x10054,x10053),x10053),f25(x10051,f26(x10052,x10054,x10053),x10053)) % 0.91/1.10 [1007]~P35(x10073)+E(f6(f8(x10071,x10072,x10073),f8(x10074,x10072,x10073),x10073),f8(f6(x10071,x10074,x10073),x10072,x10073)) % 0.91/1.10 [1008]~P24(x10083)+E(f26(f6(x10081,x10082,x10083),f6(x10084,x10082,x10083),x10083),f6(f26(x10081,x10084,x10083),x10082,x10083)) % 0.91/1.10 [1009]~P24(x10093)+E(f25(f6(x10091,x10092,x10093),f6(x10094,x10092,x10093),x10093),f6(f25(x10091,x10094,x10093),x10092,x10093)) % 0.91/1.10 [1010]~P27(x10103)+E(f26(f3(x10101,x10102,x10103),f3(x10104,x10102,x10103),x10103),f3(f26(x10101,x10104,x10103),x10102,x10103)) % 0.91/1.10 [1011]~P27(x10113)+E(f25(f3(x10111,x10112,x10113),f3(x10114,x10112,x10113),x10113),f3(f25(x10111,x10114,x10113),x10112,x10113)) % 0.91/1.10 [1012]~P34(x10123)+E(f8(f28(x10121,x10122,x10123),f28(x10124,x10122,x10123),x10123),f28(f8(x10121,x10124,x10123),x10122,x10123)) % 0.91/1.10 [1013]~P4(x10133)+E(f8(f28(x10131,x10132,x10133),f28(x10134,x10132,x10133),x10133),f28(f8(x10131,x10134,x10133),x10132,x10133)) % 0.91/1.10 [1014]~P43(x10143)+E(f6(f5(x10141,x10142,x10143),f5(x10144,x10142,x10143),x10143),f5(f6(x10141,x10144,x10143),x10142,x10143)) % 0.91/1.10 [1015]~P43(x10153)+E(f3(f5(x10151,x10152,x10153),f5(x10154,x10152,x10153),x10153),f5(f3(x10151,x10154,x10153),x10152,x10153)) % 0.91/1.10 [1016]~P3(x10163)+E(f25(f26(x10161,x10162,x10163),f26(x10164,x10162,x10163),x10163),f26(f25(x10161,x10164,x10163),x10162,x10163)) % 0.91/1.10 [1017]~P3(x10173)+E(f26(f25(x10171,x10172,x10173),f25(x10174,x10172,x10173),x10173),f25(f26(x10171,x10174,x10173),x10172,x10173)) % 0.91/1.10 [1018]~P34(x10183)+E(f6(f8(x10181,x10182,x10183),f8(x10184,x10182,x10183),x10183),f8(f6(x10181,x10184,x10183),x10182,x10183)) % 0.91/1.10 [1200]~P3(x12004)+P9(f25(x12001,f26(x12002,x12003,x12004),x12004),f26(f25(x12001,x12002,x12004),f25(x12001,x12003,x12004),x12004),x12004) % 0.91/1.10 [1201]~P3(x12013)+P9(f25(f26(x12011,x12012,x12013),f26(x12011,x12014,x12013),x12013),f26(x12011,f25(x12012,x12014,x12013),x12013),x12013) % 0.91/1.10 [1213]~P9(x12131,x12133,a1)+E(f6(f8(x12131,x12132,a1),f6(f8(f3(x12133,x12131,a1),x12132,a1),x12134,a1),a1),f6(f8(x12133,x12132,a1),x12134,a1)) % 0.91/1.10 [554]E(x5541,x5542)+~E(f21(x5541,x5543,x5544),f21(x5542,x5545,x5544)) % 0.91/1.10 [1105]~P34(x11053)+E(f8(f8(x11051,x11052,x11053),f8(x11054,x11055,x11053),x11053),f8(f8(x11051,x11054,x11053),f8(x11052,x11055,x11053),x11053)) % 0.91/1.10 [1106]~P34(x11063)+E(f6(f6(x11061,x11062,x11063),f6(x11064,x11065,x11063),x11063),f6(f6(x11061,x11064,x11063),f6(x11062,x11065,x11063),x11063)) % 0.91/1.10 [1197]~P53(x11973)+E(f6(f8(x11971,x11972,x11973),f6(f8(x11974,x11972,x11973),x11975,x11973),x11973),f6(f8(f6(x11971,x11974,x11973),x11972,x11973),x11975,x11973)) % 0.91/1.10 [1210]~P59(x12103)+E(f6(f8(x12101,x12102,x12103),f6(f8(f3(x12104,x12101,x12103),x12102,x12103),x12105,x12103),x12103),f6(f8(x12104,x12102,x12103),x12105,x12103)) % 0.91/1.10 [1216]~P9(x12161,x12164,a1)+E(f3(f6(f8(x12161,x12162,a1),x12163,a1),f6(f8(x12164,x12162,a1),x12165,a1),a1),f3(x12163,f6(f8(f3(x12164,x12161,a1),x12162,a1),x12165,a1),a1)) % 0.91/1.10 [1217]~P9(x12174,x12171,a1)+E(f3(f6(f8(x12171,x12172,a1),x12173,a1),f6(f8(x12174,x12172,a1),x12175,a1),a1),f3(f6(f8(f3(x12171,x12174,a1),x12172,a1),x12173,a1),x12175,a1)) % 0.91/1.10 [308]~P43(x3081)+~P39(x3081)+E(f4(f7(x3081),x3081),f7(x3081)) % 0.91/1.10 [589]~P29(x5891)+~P9(f2(x5891),f2(x5891),x5891)+E(f6(f2(x5891),f2(x5891),x5891),f2(x5891)) % 0.91/1.10 [436]E(x4361,x4362)+P8(x4362,x4361,a1)+P8(x4361,x4362,a1) % 0.91/1.10 [483]E(x4831,x4832)+P8(x4831,x4832,a1)+~P9(x4831,x4832,a1) % 0.91/1.10 [549]E(x5491,x5492)+~P9(x5492,x5491,a1)+~P9(x5491,x5492,a1) % 0.91/1.10 [305]~P26(x3052)+~E(f10(x3051,x3052),x3051)+E(x3051,f2(x3052)) % 0.91/1.10 [309]~P22(x3092)+~E(f10(x3091,x3092),f2(x3092))+E(x3091,f2(x3092)) % 0.91/1.10 [310]~P40(x3102)+~E(f4(x3101,x3102),f2(x3102))+E(x3101,f2(x3102)) % 0.91/1.10 [311]~P48(x3112)+~E(f9(x3111,x3112),f2(x3112))+E(x3111,f2(x3112)) % 0.91/1.10 [312]~P22(x3121)+~E(f10(x3122,x3121),f2(x3121))+E(f2(x3121),x3122) % 0.91/1.10 [363]~P43(x3632)+E(f5(x3631,x3631,x3632),f7(x3632))+E(x3631,f2(x3632)) % 0.91/1.10 [373]~P13(x3732)+~P44(x3732)+E(f3(x3731,x3731,x3732),f2(x3732)) % 0.91/1.10 [409]E(x4091,f2(a1))+E(x4092,f2(a1))+~E(f8(x4092,x4091,a1),f2(a1)) % 0.91/1.10 [410]~P48(x4101)+P8(f2(x4101),x4102,x4101)+~E(f9(x4102,x4101),f7(x4101)) % 0.91/1.10 [421]~P23(x4212)+~E(f6(x4211,x4211,x4212),f2(x4212))+E(x4211,f2(x4212)) % 0.91/1.10 [433]~P34(x4332)+~P11(f2(x4332),x4331,x4332)+E(x4331,f2(x4332)) % 0.91/1.10 [471]~P48(x4712)+~P8(f2(x4712),x4711,x4712)+E(f9(x4711,x4712),f7(x4712)) % 0.91/1.10 [507]~P8(x5071,x5072,a1)+E(f27(x5071),x5072)+P8(f27(x5071),x5072,a1) % 0.91/1.10 [508]E(x5081,x5082)+P8(x5082,x5081,a1)+~P8(x5082,f27(x5081),a1) % 0.91/1.10 [510]E(x5101,x5102)+P8(x5101,x5102,a1)+~P8(x5101,f27(x5102),a1) % 0.91/1.10 [529]P9(x5291,x5292,a1)+E(x5291,f27(x5292))+~P9(x5291,f27(x5292),a1) % 0.91/1.10 [561]E(x5611,x5612)+~E(f3(x5612,x5611,a1),f2(a1))+~E(f3(x5611,x5612,a1),f2(a1)) % 0.91/1.10 [565]E(x5651,x5652)+~P9(x5652,x5651,a1)+~P8(x5651,f27(x5652),a1) % 0.91/1.10 [588]~P33(x5881)+P8(f2(x5881),f22(x5882,x5881),x5881)+~P8(f2(a1),x5882,a1) % 0.91/1.10 [590]~P48(x5902)+~P8(x5901,f2(x5902),x5902)+P8(x5901,f10(x5901,x5902),x5902) % 0.91/1.10 [591]~P23(x5912)+~P9(x5911,f2(x5912),x5912)+P9(x5911,f10(x5911,x5912),x5912) % 0.91/1.10 [592]~P26(x5922)+~P9(x5921,f2(x5922),x5922)+P9(x5921,f10(x5921,x5922),x5922) % 0.91/1.10 [593]~P23(x5932)+~P9(f2(x5932),x5931,x5932)+P9(f10(x5931,x5932),x5931,x5932) % 0.91/1.10 [594]~P26(x5942)+~P9(f2(x5942),x5941,x5942)+P9(f10(x5941,x5942),x5941,x5942) % 0.91/1.10 [601]~P27(x6011)+~P8(x6012,f2(x6011),x6011)+P8(f2(x6011),f10(x6012,x6011),x6011) % 0.91/1.10 [602]~P27(x6021)+~P9(x6022,f2(x6021),x6021)+P9(f2(x6021),f10(x6022,x6021),x6021) % 0.91/1.10 [603]~P49(x6031)+~P8(f2(x6031),x6032,x6031)+P8(f2(x6031),f4(x6032,x6031),x6031) % 0.91/1.10 [604]~P48(x6041)+~P8(f2(x6041),x6042,x6041)+P8(f2(x6041),f9(x6042,x6041),x6041) % 0.91/1.10 [605]~P49(x6052)+~P8(x6051,f2(x6052),x6052)+P8(f4(x6051,x6052),f2(x6052),x6052) % 0.91/1.10 [606]~P48(x6062)+~P8(x6061,f2(x6062),x6062)+P8(f9(x6061,x6062),f2(x6062),x6062) % 0.91/1.10 [607]~P27(x6072)+~P8(f2(x6072),x6071,x6072)+P8(f10(x6071,x6072),f2(x6072),x6072) % 0.91/1.10 [608]~P27(x6082)+~P9(f2(x6082),x6081,x6082)+P9(f10(x6081,x6082),f2(x6082),x6082) % 0.91/1.10 [611]~P48(x6112)+~P8(x6111,f10(x6111,x6112),x6112)+P8(x6111,f2(x6112),x6112) % 0.91/1.10 [612]~P23(x6122)+~P9(x6121,f10(x6121,x6122),x6122)+P9(x6121,f2(x6122),x6122) % 0.91/1.10 [613]~P26(x6132)+~P9(x6131,f10(x6131,x6132),x6132)+P9(x6131,f2(x6132),x6132) % 0.91/1.10 [614]~P23(x6141)+~P9(f10(x6142,x6141),x6142,x6141)+P9(f2(x6141),x6142,x6141) % 0.91/1.10 [615]~P26(x6151)+~P9(f10(x6152,x6151),x6152,x6151)+P9(f2(x6151),x6152,x6151) % 0.91/1.10 [632]~P33(x6322)+~P8(f2(x6322),f22(x6321,x6322),x6322)+P8(f2(a1),x6321,a1) % 0.91/1.10 [634]~P27(x6342)+~P8(f2(x6342),f10(x6341,x6342),x6342)+P8(x6341,f2(x6342),x6342) % 0.91/1.10 [635]~P27(x6352)+~P9(f2(x6352),f10(x6351,x6352),x6352)+P9(x6351,f2(x6352),x6352) % 0.91/1.10 [636]~P48(x6362)+~P8(f9(x6361,x6362),f2(x6362),x6362)+P8(x6361,f2(x6362),x6362) % 0.91/1.10 [637]~P48(x6371)+~P8(f2(x6371),f9(x6372,x6371),x6371)+P8(f2(x6371),x6372,x6371) % 0.91/1.10 [638]~P27(x6381)+~P8(f10(x6382,x6381),f2(x6381),x6381)+P8(f2(x6381),x6382,x6381) % 0.91/1.10 [639]~P27(x6391)+~P9(f10(x6392,x6391),f2(x6391),x6391)+P9(f2(x6391),x6392,x6391) % 0.91/1.10 [743]~P23(x7431)+~P8(f2(x7431),x7432,x7431)+P8(f2(x7431),f6(x7432,x7432,x7431),x7431) % 0.91/1.10 [745]~P23(x7451)+~P9(f2(x7451),x7452,x7451)+P9(f2(x7451),f6(x7452,x7452,x7451),x7451) % 0.91/1.10 [748]~P23(x7482)+~P8(x7481,f2(x7482),x7482)+P8(f6(x7481,x7481,x7482),f2(x7482),x7482) % 0.91/1.10 [749]~P48(x7492)+~P8(x7491,f2(x7492),x7492)+P8(f6(x7491,x7491,x7492),f2(x7492),x7492) % 0.91/1.10 [750]~P23(x7502)+~P9(x7501,f2(x7502),x7502)+P9(f6(x7501,x7501,x7502),f2(x7502),x7502) % 0.91/1.10 [835]~P23(x8352)+~P8(f6(x8351,x8351,x8352),f2(x8352),x8352)+P8(x8351,f2(x8352),x8352) % 0.91/1.10 [836]~P48(x8362)+~P8(f6(x8361,x8361,x8362),f2(x8362),x8362)+P8(x8361,f2(x8362),x8362) % 0.91/1.10 [837]~P23(x8372)+~P9(f6(x8371,x8371,x8372),f2(x8372),x8372)+P9(x8371,f2(x8372),x8372) % 0.91/1.10 [838]~P23(x8381)+~P8(f2(x8381),f6(x8382,x8382,x8381),x8381)+P8(f2(x8381),x8382,x8381) % 0.91/1.10 [839]~P23(x8391)+~P9(f2(x8391),f6(x8392,x8392,x8391),x8391)+P9(f2(x8391),x8392,x8391) % 0.91/1.10 [840]P8(f3(x8401,x8402,a1),x8401,a1)+~P8(f2(a1),x8402,a1)+~P8(f2(a1),x8401,a1) % 0.91/1.10 [843]~P8(f2(a1),x8432,a1)+~P8(f2(a1),x8431,a1)+P8(f2(a1),f8(x8431,x8432,a1),a1) % 0.91/1.10 [894]P8(f2(a1),x8941,a1)+P8(f2(a1),x8942,a1)+~P8(f2(a1),f6(x8941,x8942,a1),a1) % 0.91/1.10 [324]~P40(x3242)+E(x3241,f2(x3242))+E(f4(f4(x3241,x3242),x3242),x3241) % 0.91/1.10 [328]~P39(x3282)+~P40(x3282)+E(f4(f4(x3281,x3282),x3282),x3281) % 0.91/1.10 [376]~P13(x3762)+~P44(x3762)+E(f6(x3761,f2(x3762),x3762),x3761) % 0.91/1.10 [381]~P43(x3812)+~P39(x3812)+E(f5(x3811,f2(x3812),x3812),f2(x3812)) % 0.91/1.10 [386]~P1(x3861)+~P2(x3861)+E(f28(f2(x3861),f27(x3862),x3861),f2(x3861)) % 0.91/1.10 [402]~P40(x4022)+E(x4021,f2(x4022))+E(f4(f10(x4021,x4022),x4022),f10(f4(x4021,x4022),x4022)) % 0.91/1.10 [408]~P39(x4082)+~P40(x4082)+E(f4(f10(x4081,x4082),x4082),f10(f4(x4081,x4082),x4082)) % 0.91/1.10 [411]~P40(x4112)+E(x4111,f2(x4112))+E(f8(x4111,f4(x4111,x4112),x4112),f7(x4112)) % 0.91/1.10 [412]~P43(x4122)+E(x4121,f2(x4122))+E(f8(f4(x4121,x4122),x4121,x4122),f7(x4122)) % 0.91/1.10 [413]~P40(x4132)+E(x4131,f2(x4132))+E(f8(f4(x4131,x4132),x4131,x4132),f7(x4132)) % 0.91/1.10 [418]E(x4181,f2(a1))+E(x4182,f2(a1))+~E(f6(x4182,x4181,a1),f27(f2(a1))) % 0.91/1.10 [427]E(x4271,f2(a1))+E(x4271,f27(f2(a1)))+~E(f6(x4272,x4271,a1),f27(f2(a1))) % 0.91/1.10 [428]E(x4281,f2(a1))+E(x4281,f27(f2(a1)))+~E(f6(x4281,x4282,a1),f27(f2(a1))) % 0.91/1.10 [441]E(x4411,f27(f2(a1)))+E(x4412,f27(f2(a1)))+~E(f6(x4412,x4411,a1),f27(f2(a1))) % 0.91/1.10 [472]~P48(x4722)+P8(x4721,f2(x4722),x4722)+~E(f9(x4721,x4722),f10(f7(x4722),x4722)) % 0.91/1.10 [479]~P48(x4792)+~P8(x4791,f2(x4792),x4792)+E(f9(x4791,x4792),f10(f7(x4792),x4792)) % 0.91/1.10 [892]P8(x8921,f8(x8922,x8921,a1),a1)+~P8(f27(f2(a1)),x8922,a1)+~P8(f27(f2(a1)),x8921,a1) % 0.91/1.10 [893]P8(x8931,f8(x8931,x8932,a1),a1)+~P8(f27(f2(a1)),x8932,a1)+~P8(f27(f2(a1)),x8931,a1) % 0.91/1.10 [944]~P8(f27(f2(a1)),x9442,a1)+~P8(f27(f2(a1)),x9441,a1)+P8(f27(f2(a1)),f8(x9441,x9442,a1),a1) % 0.91/1.10 [945]~P9(f27(f2(a1)),x9452,a1)+~P9(f27(f2(a1)),x9451,a1)+P9(f27(f2(a1)),f8(x9451,x9452,a1),a1) % 0.91/1.10 [610]~P43(x6101)+~P39(x6101)+E(f5(f8(f2(x6101),x6102,x6101),x6102,x6101),f2(x6101)) % 0.91/1.10 [462]P9(x4622,x4621,x4623)+~P3(x4623)+P8(x4621,x4622,x4623) % 0.91/1.10 [464]P9(x4642,x4641,x4643)+~P3(x4643)+P9(x4641,x4642,x4643) % 0.91/1.10 [503]~P31(x5033)+~P8(x5031,x5032,x5033)+P9(x5031,x5032,x5033) % 0.91/1.10 [504]~P32(x5043)+~P8(x5041,x5042,x5043)+P9(x5041,x5042,x5043) % 0.91/1.10 [566]~P8(x5663,x5662,x5661)+~P3(x5661)+~P8(x5662,x5663,x5661) % 0.91/1.10 [568]~P9(x5683,x5682,x5681)+~P3(x5681)+~P8(x5682,x5683,x5681) % 0.91/1.10 [571]~P8(x5713,x5712,x5711)+~P31(x5711)+~P8(x5712,x5713,x5711) % 0.91/1.10 [572]~P9(x5723,x5722,x5721)+~P31(x5721)+~P8(x5722,x5723,x5721) % 0.91/1.10 [573]~P8(x5733,x5732,x5731)+~P32(x5731)+~P8(x5732,x5733,x5731) % 0.91/1.10 [666]~P9(x6661,x6663,a1)+P9(x6661,x6662,a1)+~P9(x6663,x6662,a1) % 0.91/1.10 [325]~P22(x3253)+E(x3251,x3252)+~E(f10(x3251,x3253),f10(x3252,x3253)) % 0.91/1.10 [326]~P12(x3263)+E(x3261,x3262)+~E(f10(x3261,x3263),f10(x3262,x3263)) % 0.91/1.10 [327]~P6(x3273)+E(x3271,x3272)+~E(f22(x3271,x3273),f22(x3272,x3273)) % 0.91/1.10 [415]~P22(x4153)+E(x4151,x4152)+~E(f3(x4151,x4152,x4153),f2(x4153)) % 0.91/1.10 [416]~P15(x4163)+E(x4161,x4162)+~E(f3(x4161,x4162,x4163),f2(x4163)) % 0.91/1.10 [422]~P58(x4222)+~E(f28(x4221,x4223,x4222),f2(x4222))+E(x4221,f2(x4222)) % 0.91/1.10 [449]~P22(x4493)+~E(f6(x4491,x4492,x4493),f2(x4493))+E(x4491,f10(x4492,x4493)) % 0.91/1.10 [450]~P22(x4502)+~E(f6(x4501,x4503,x4502),f2(x4502))+E(f10(x4501,x4502),x4503) % 0.91/1.10 [451]~P40(x4512)+~E(f8(x4511,x4513,x4512),f7(x4512))+E(f4(x4511,x4512),x4513) % 0.91/1.10 [511]~P3(x5113)+~P9(x5112,x5111,x5113)+E(f26(x5111,x5112,x5113),x5112) % 0.91/1.10 [512]~P3(x5123)+~P9(x5121,x5122,x5123)+E(f26(x5121,x5122,x5123),x5121) % 0.91/1.10 [513]~P3(x5133)+~P9(x5131,x5132,x5133)+E(f25(x5131,x5132,x5133),x5132) % 0.91/1.10 [514]~P3(x5143)+~P9(x5142,x5141,x5143)+E(f25(x5141,x5142,x5143),x5141) % 0.91/1.10 [519]~P3(x5193)+P9(x5191,x5192,x5193)+~E(f26(x5191,x5192,x5193),x5191) % 0.91/1.10 [520]~P3(x5203)+P9(x5201,x5202,x5203)+~E(f25(x5201,x5202,x5203),x5202) % 0.91/1.10 [551]E(x5511,x5512)+~E(f8(x5513,x5511,a1),f8(x5513,x5512,a1))+E(x5513,f2(a1)) % 0.91/1.10 [552]E(x5521,x5522)+~E(f8(x5521,x5523,a1),f8(x5522,x5523,a1))+E(x5523,f2(a1)) % 0.91/1.10 [555]~P36(x5553)+~P11(x5551,x5552,x5553)+P11(x5551,f10(x5552,x5553),x5553) % 0.91/1.10 [556]~P36(x5562)+~P11(x5561,x5563,x5562)+P11(f10(x5561,x5562),x5563,x5562) % 0.91/1.10 [598]~P36(x5983)+P11(x5981,x5982,x5983)+~P11(x5981,f10(x5982,x5983),x5983) % 0.91/1.10 [599]~P36(x5993)+P11(x5991,x5992,x5993)+~P11(f10(x5991,x5993),x5992,x5993) % 0.91/1.10 [627]~P33(x6272)+~P8(x6271,x6273,a1)+P8(f22(x6271,x6272),f22(x6273,x6272),x6272) % 0.91/1.10 [628]~P33(x6282)+~P9(x6281,x6283,a1)+P9(f22(x6281,x6282),f22(x6283,x6282),x6282) % 0.91/1.10 [630]~P27(x6302)+~P8(x6303,x6301,x6302)+P8(f10(x6301,x6302),f10(x6303,x6302),x6302) % 0.91/1.10 [631]~P27(x6312)+~P9(x6313,x6311,x6312)+P9(f10(x6311,x6312),f10(x6313,x6312),x6312) % 0.91/1.10 [657]~P27(x6573)+~P8(x6572,f10(x6571,x6573),x6573)+P8(x6571,f10(x6572,x6573),x6573) % 0.91/1.10 [659]~P27(x6593)+~P9(x6592,f10(x6591,x6593),x6593)+P9(x6591,f10(x6592,x6593),x6593) % 0.91/1.10 [661]~P27(x6612)+~P8(f10(x6613,x6612),x6611,x6612)+P8(f10(x6611,x6612),x6613,x6612) % 0.91/1.10 [663]~P27(x6632)+~P9(f10(x6633,x6632),x6631,x6632)+P9(f10(x6631,x6632),x6633,x6632) % 0.91/1.10 [673]~P8(x6731,x6733,a1)+~P8(x6733,x6732,a1)+P8(f27(x6731),x6732,a1) % 0.91/1.10 [674]~P33(x6743)+~P8(f22(x6741,x6743),f22(x6742,x6743),x6743)+P8(x6741,x6742,a1) % 0.91/1.10 [675]~P33(x6753)+~P9(f22(x6751,x6753),f22(x6752,x6753),x6753)+P9(x6751,x6752,a1) % 0.91/1.10 [682]~P27(x6823)+P8(x6821,x6822,x6823)+~P8(f10(x6822,x6823),f10(x6821,x6823),x6823) % 0.91/1.10 [683]~P27(x6833)+P9(x6831,x6832,x6833)+~P9(f10(x6832,x6833),f10(x6831,x6833),x6833) % 0.91/1.10 [738]E(x7381,x7382)+~E(f8(x7383,x7381,a1),f8(x7383,x7382,a1))+~P8(f2(a1),x7383,a1) % 0.91/1.10 [739]~P34(x7393)+P11(x7391,f28(x7391,x7392,x7393),x7393)+~P8(f2(a1),x7392,a1) % 0.91/1.10 [741]~P27(x7413)+~P8(x7411,x7412,x7413)+P8(f3(x7411,x7412,x7413),f2(x7413),x7413) % 0.91/1.10 [742]~P27(x7423)+~P9(x7421,x7422,x7423)+P9(f3(x7421,x7422,x7423),f2(x7423),x7423) % 0.91/1.10 [744]~P33(x7441)+~P8(f2(x7441),x7442,x7441)+P8(f2(x7441),f28(x7442,x7443,x7441),x7441) % 0.91/1.10 [746]~P33(x7461)+~P9(f2(x7461),x7462,x7461)+P9(f2(x7461),f28(x7462,x7463,x7461),x7461) % 0.91/1.10 [747]~P33(x7471)+~P9(f7(x7471),x7472,x7471)+P9(f7(x7471),f28(x7472,x7473,x7471),x7471) % 0.91/1.10 [777]~P23(x7773)+~P9(x7771,f10(x7772,x7773),x7773)+P9(f6(x7771,x7772,x7773),f2(x7773),x7773) % 0.91/1.10 [803]~P27(x8033)+P8(x8031,x8032,x8033)+~P8(f3(x8031,x8032,x8033),f2(x8033),x8033) % 0.91/1.10 [804]~P27(x8043)+P9(x8041,x8042,x8043)+~P9(f3(x8041,x8042,x8043),f2(x8043),x8043) % 0.91/1.10 [812]~P9(x8121,x8122,a1)+P8(x8121,f6(x8122,x8123,a1),a1)+~P8(f2(a1),x8123,a1) % 0.91/1.10 [869]~P23(x8693)+~P9(f6(x8691,x8692,x8693),f2(x8693),x8693)+P9(x8691,f10(x8692,x8693),x8693) % 0.91/1.10 [990]~P8(x9901,x9903,a1)+~P9(x9902,x9901,a1)+P8(f3(x9901,x9902,a1),f3(x9903,x9902,a1),a1) % 0.91/1.10 [991]~P8(x9913,x9912,a1)+~P8(x9913,x9911,a1)+P8(f3(x9911,x9912,a1),f3(x9911,x9913,a1),a1) % 0.91/1.10 [996]~P8(x9961,x9963,a1)+P8(f8(x9961,x9962,a1),f8(x9963,x9962,a1),a1)+~P8(f2(a1),x9962,a1) % 0.91/1.10 [999]~P8(x9992,x9993,a1)+P8(f8(x9991,x9992,a1),f8(x9991,x9993,a1),a1)+~P8(f2(a1),x9991,a1) % 0.91/1.10 [1076]~P9(x10763,x10762,a1)+~P9(f6(x10761,x10763,a1),x10762,a1)+P9(x10761,f3(x10762,x10763,a1),a1) % 0.91/1.10 [1077]~P9(x10772,x10773,a1)+~P9(x10771,f3(x10773,x10772,a1),a1)+P9(f6(x10771,x10772,a1),x10773,a1) % 0.91/1.10 [1121]P9(x11211,x11212,a1)+~P9(f8(x11213,x11211,a1),f8(x11213,x11212,a1),a1)+~P8(f2(a1),x11213,a1) % 0.91/1.10 [1122]P9(x11221,x11222,a1)+~P9(f8(x11221,x11223,a1),f8(x11222,x11223,a1),a1)+~P8(f2(a1),x11223,a1) % 0.91/1.10 [470]E(x4701,x4702)+P8(x4702,x4701,a1)+E(f20(f12(x4701),x4703,x4702),f12(x4701)) % 0.91/1.10 [553]~P43(x5532)+E(x5531,f2(x5532))+E(f5(f10(x5533,x5532),f10(x5531,x5532),x5532),f5(x5533,x5531,x5532)) % 0.91/1.10 [559]~P43(x5592)+E(x5591,f2(x5592))+E(f5(f8(x5593,x5591,x5592),x5591,x5592),x5593) % 0.91/1.10 [560]~P43(x5602)+~P39(x5602)+E(f5(f10(x5601,x5602),f10(x5603,x5602),x5602),f5(x5601,x5603,x5602)) % 0.91/1.10 [600]~P43(x6003)+~P39(x6003)+E(f4(f5(x6001,x6002,x6003),x6003),f5(x6002,x6001,x6003)) % 0.91/1.10 [654]~P43(x6542)+E(x6541,f2(x6542))+E(f5(x6543,f10(x6541,x6542),x6542),f10(f5(x6543,x6541,x6542),x6542)) % 0.91/1.10 [655]~P40(x6552)+E(x6551,f2(x6552))+E(f28(f4(x6551,x6552),x6553,x6552),f4(f28(x6551,x6553,x6552),x6552)) % 0.91/1.10 [664]~P43(x6643)+~P39(x6643)+E(f5(x6641,f10(x6642,x6643),x6643),f10(f5(x6641,x6642,x6643),x6643)) % 0.91/1.10 [665]~P39(x6652)+~P40(x6652)+E(f28(f4(x6651,x6652),x6653,x6652),f4(f28(x6651,x6653,x6652),x6652)) % 0.91/1.10 [708]~P43(x7082)+~P39(x7082)+E(f8(f4(x7081,x7082),f4(x7083,x7082),x7082),f4(f8(x7081,x7083,x7082),x7082)) % 0.91/1.10 [756]~P33(x7561)+~P8(f7(x7561),x7562,x7561)+P8(f7(x7561),f28(x7562,f27(x7563),x7561),x7561) % 0.91/1.10 [782]~P60(x7822)+~P9(x7823,x7821,a1)+E(f3(f22(x7821,x7822),f22(x7823,x7822),x7822),f22(f3(x7821,x7823,a1),x7822)) % 0.91/1.10 [1019]~P50(x10192)+E(x10191,f2(x10192))+~E(f6(f8(x10193,x10193,x10192),f8(x10191,x10191,x10192),x10192),f2(x10192)) % 0.91/1.10 [1020]~P50(x10202)+E(x10201,f2(x10202))+~E(f6(f8(x10201,x10201,x10202),f8(x10203,x10203,x10202),x10202),f2(x10202)) % 0.91/1.10 [1070]~P9(x10702,x10703,a1)+~P9(x10702,x10701,a1)+E(f3(f3(x10701,x10702,a1),f3(x10703,x10702,a1),a1),f3(x10701,x10703,a1)) % 0.91/1.10 [1075]~P33(x10751)+~P8(f7(x10751),x10752,x10751)+P8(f7(x10751),f8(x10752,f28(x10752,x10753,x10751),x10751),x10751) % 0.91/1.10 [1143]~P33(x11433)+~P8(f7(x11433),x11431,x11433)+P8(f28(x11431,x11432,x11433),f8(x11431,f28(x11431,x11432,x11433),x11433),x11433) % 0.91/1.10 [1161]~P50(x11612)+E(x11611,f2(x11612))+P8(f2(x11612),f6(f8(x11613,x11613,x11612),f8(x11611,x11611,x11612),x11612),x11612) % 0.91/1.10 [1162]~P50(x11622)+E(x11621,f2(x11622))+P8(f2(x11622),f6(f8(x11621,x11621,x11622),f8(x11623,x11623,x11622),x11622),x11622) % 0.91/1.10 [1205]~P50(x12052)+E(x12051,f2(x12052))+~P9(f6(f8(x12053,x12053,x12052),f8(x12051,x12051,x12052),x12052),f2(x12052),x12052) % 0.91/1.10 [1206]~P50(x12062)+E(x12061,f2(x12062))+~P9(f6(f8(x12061,x12061,x12062),f8(x12063,x12063,x12062),x12062),f2(x12062),x12062) % 0.91/1.10 [870]~P43(x8701)+~P39(x8701)+E(f28(f5(f7(x8701),x8702,x8701),x8703,x8701),f5(f7(x8701),f28(x8702,x8703,x8701),x8701)) % 0.91/1.10 [1183]~P49(x11833)+~P8(x11831,x11832,x11833)+P8(x11831,f5(f6(x11831,x11832,x11833),f6(f7(x11833),f7(x11833),x11833),x11833),x11833) % 0.91/1.10 [1184]~P49(x11843)+~P8(x11841,x11842,x11843)+P8(f5(f6(x11841,x11842,x11843),f6(f7(x11843),f7(x11843),x11843),x11843),x11842,x11843) % 0.91/1.10 [574]~P16(x5744)+E(x5741,x5742)+~E(f6(x5743,x5741,x5744),f6(x5743,x5742,x5744)) % 0.91/1.10 [575]~P19(x5754)+E(x5751,x5752)+~E(f6(x5753,x5751,x5754),f6(x5753,x5752,x5754)) % 0.91/1.10 [576]~P15(x5764)+E(x5761,x5762)+~E(f3(x5763,x5763,x5764),f3(x5761,x5762,x5764)) % 0.91/1.10 [577]~P19(x5774)+E(x5771,x5772)+~E(f6(x5771,x5773,x5774),f6(x5772,x5773,x5774)) % 0.91/1.10 [578]~P15(x5783)+E(x5781,x5782)+~E(f3(x5781,x5782,x5783),f3(x5784,x5784,x5783)) % 0.91/1.10 [721]~P3(x7214)+~P8(x7211,x7213,x7214)+P8(x7211,f25(x7212,x7213,x7214),x7214) % 0.91/1.10 [723]~P3(x7234)+~P8(x7231,x7232,x7234)+P8(x7231,f25(x7232,x7233,x7234),x7234) % 0.91/1.10 [725]~P3(x7254)+~P9(x7251,x7253,x7254)+P9(x7251,f25(x7252,x7253,x7254),x7254) % 0.91/1.10 [727]~P3(x7274)+~P9(x7271,x7272,x7274)+P9(x7271,f25(x7272,x7273,x7274),x7274) % 0.91/1.10 [728]~P34(x7284)+~P11(x7281,x7283,x7284)+P11(x7281,f8(x7282,x7283,x7284),x7284) % 0.91/1.10 [729]~P34(x7294)+~P11(x7291,x7292,x7294)+P11(x7291,f8(x7292,x7293,x7294),x7294) % 0.91/1.10 [731]~P3(x7313)+~P8(x7312,x7314,x7313)+P8(f26(x7311,x7312,x7313),x7314,x7313) % 0.91/1.10 [733]~P3(x7333)+~P8(x7331,x7334,x7333)+P8(f26(x7331,x7332,x7333),x7334,x7333) % 0.91/1.10 [735]~P3(x7353)+~P9(x7352,x7354,x7353)+P9(f26(x7351,x7352,x7353),x7354,x7353) % 0.91/1.10 [737]~P3(x7373)+~P9(x7371,x7374,x7373)+P9(f26(x7371,x7372,x7373),x7374,x7373) % 0.91/1.10 [778]~P8(x7784,x7783,a1)+P8(x7781,x7782,a1)+~E(f6(x7781,x7783,a1),f6(x7784,x7782,a1)) % 0.91/1.10 [783]~P3(x7833)+P8(x7831,x7832,x7833)+~P8(x7831,f26(x7834,x7832,x7833),x7833) % 0.91/1.10 [784]~P3(x7843)+P8(x7841,x7842,x7843)+~P8(x7841,f26(x7842,x7844,x7843),x7843) % 0.91/1.10 [786]~P3(x7863)+P9(x7861,x7862,x7863)+~P9(x7861,f26(x7864,x7862,x7863),x7863) % 0.91/1.10 [788]~P3(x7883)+P9(x7881,x7882,x7883)+~P9(x7881,f26(x7882,x7884,x7883),x7883) % 0.91/1.10 [789]~P3(x7893)+P8(x7891,x7892,x7893)+~P8(f25(x7894,x7891,x7893),x7892,x7893) % 0.91/1.10 [790]~P3(x7903)+P8(x7901,x7902,x7903)+~P8(f25(x7901,x7904,x7903),x7902,x7903) % 0.91/1.10 [792]~P3(x7923)+P9(x7921,x7922,x7923)+~P9(f25(x7924,x7921,x7923),x7922,x7923) % 0.91/1.10 [794]~P3(x7943)+P9(x7941,x7942,x7943)+~P9(f25(x7941,x7944,x7943),x7942,x7943) % 0.91/1.10 [795]~P34(x7953)+P11(x7951,x7952,x7953)+~P11(f8(x7954,x7951,x7953),x7952,x7953) % 0.91/1.10 [796]~P34(x7963)+P11(x7961,x7962,x7963)+~P11(f8(x7961,x7964,x7963),x7962,x7963) % 0.91/1.10 [879]~P34(x8793)+~P9(x8792,x8794,a1)+P11(f28(x8791,x8792,x8793),f28(x8791,x8794,x8793),x8793) % 0.91/1.10 [881]~P24(x8813)+~P8(x8811,x8814,x8813)+P8(f6(x8811,x8812,x8813),f6(x8814,x8812,x8813),x8813) % 0.91/1.10 [882]~P30(x8823)+~P8(x8821,x8824,x8823)+P8(f6(x8821,x8822,x8823),f6(x8824,x8822,x8823),x8823) % 0.91/1.10 [883]~P24(x8833)+~P8(x8832,x8834,x8833)+P8(f6(x8831,x8832,x8833),f6(x8831,x8834,x8833),x8833) % 0.91/1.10 [884]~P30(x8843)+~P8(x8842,x8844,x8843)+P8(f6(x8841,x8842,x8843),f6(x8841,x8844,x8843),x8843) % 0.91/1.10 [885]~P24(x8853)+~P9(x8851,x8854,x8853)+P9(f6(x8851,x8852,x8853),f6(x8854,x8852,x8853),x8853) % 0.91/1.10 [886]~P25(x8863)+~P9(x8861,x8864,x8863)+P9(f6(x8861,x8862,x8863),f6(x8864,x8862,x8863),x8863) % 0.91/1.10 [887]~P24(x8873)+~P9(x8872,x8874,x8873)+P9(f6(x8871,x8872,x8873),f6(x8871,x8874,x8873),x8873) % 0.91/1.10 [888]~P25(x8883)+~P9(x8882,x8884,x8883)+P9(f6(x8881,x8882,x8883),f6(x8881,x8884,x8883),x8883) % 0.91/1.10 [889]~P44(x8893)+~P11(x8891,x8894,x8893)+P11(f8(x8891,x8892,x8893),f8(x8894,x8892,x8893),x8893) % 0.91/1.10 [890]~P44(x8903)+~P11(x8902,x8904,x8903)+P11(f8(x8901,x8902,x8903),f8(x8901,x8904,x8903),x8903) % 0.91/1.10 [891]~P34(x8913)+~P11(x8911,x8914,x8913)+P11(f28(x8911,x8912,x8913),f28(x8914,x8912,x8913),x8913) % 0.91/1.10 [989]~P8(x9892,x9894,a1)+~P8(x9891,x9893,a1)+P8(f6(x9891,x9892,a1),f6(x9893,x9894,a1),a1) % 0.91/1.10 [992]~P9(x9922,x9924,a1)+~P9(x9921,x9923,a1)+P9(f8(x9921,x9922,a1),f8(x9923,x9924,a1),a1) % 0.91/1.10 [993]~P9(x9932,x9934,a1)+~P9(x9931,x9933,a1)+P9(f6(x9931,x9932,a1),f6(x9933,x9934,a1),a1) % 0.91/1.10 [1071]~P24(x10713)+P8(x10711,x10712,x10713)+~P8(f6(x10714,x10711,x10713),f6(x10714,x10712,x10713),x10713) % 0.91/1.10 [1072]~P24(x10723)+P8(x10721,x10722,x10723)+~P8(f6(x10721,x10724,x10723),f6(x10722,x10724,x10723),x10723) % 0.91/1.10 [1073]~P24(x10733)+P9(x10731,x10732,x10733)+~P9(f6(x10734,x10731,x10733),f6(x10734,x10732,x10733),x10733) % 0.91/1.10 [1074]~P24(x10743)+P9(x10741,x10742,x10743)+~P9(f6(x10741,x10744,x10743),f6(x10742,x10744,x10743),x10743) % 0.91/1.10 [755]~P15(x7553)+E(x7551,f10(x7552,x7553))+~E(f6(x7551,f6(x7554,x7552,x7553),x7553),x7554) % 0.91/1.10 [842]~P43(x8423)+~P39(x8423)+E(f5(f8(x8421,x8422,x8423),x8424,x8423),f8(f5(x8421,x8424,x8423),x8422,x8423)) % 0.91/1.10 [1021]~P43(x10212)+E(x10211,f2(x10212))+E(f5(f28(x10213,x10214,x10212),f28(x10211,x10214,x10212),x10212),f28(f5(x10213,x10211,x10212),x10214,x10212)) % 0.91/1.10 [1022]~P43(x10223)+~P39(x10223)+E(f5(f28(x10221,x10222,x10223),f28(x10224,x10222,x10223),x10223),f28(f5(x10221,x10224,x10223),x10222,x10223)) % 0.91/1.10 [1080]E(x10801,x10802)+E(x10803,f2(a1))+~E(f6(x10804,f8(x10803,x10801,a1),a1),f6(x10804,f8(x10803,x10802,a1),a1)) % 0.91/1.10 [1113]~P13(x11133)+~P44(x11133)+E(f6(f8(x11131,x11132,x11133),f8(x11131,x11134,x11133),x11133),f6(f8(x11131,x11134,x11133),f8(x11131,x11132,x11133),x11133)) % 0.91/1.10 [1194]E(x11941,x11942)+E(x11943,x11944)+~E(f6(f8(x11943,x11941,a1),f8(x11944,x11942,a1),a1),f6(f8(x11943,x11942,a1),f8(x11944,x11941,a1),a1)) % 0.91/1.10 [564]E(x5641,x5642)+~E(f21(x5643,x5641,x5644),f21(x5645,x5642,x5644))+E(x5643,f2(a1)) % 0.91/1.10 [981]~P15(x9813)+E(f6(x9811,x9812,x9813),x9814)+~E(f6(x9811,f6(x9815,x9812,x9813),x9813),f6(x9815,x9814,x9813)) % 0.91/1.10 [1114]~P43(x11143)+~P39(x11143)+E(f5(f8(x11141,x11142,x11143),f8(x11144,x11145,x11143),x11143),f8(f5(x11141,x11144,x11143),f5(x11142,x11145,x11143),x11143)) % 0.91/1.10 [1202]~P9(x12023,x12022,a1)+~E(f6(f8(x12023,x12024,a1),x12021,a1),f6(f8(x12022,x12024,a1),x12025,a1))+E(x12021,f6(f8(f3(x12022,x12023,a1),x12024,a1),x12025,a1)) % 0.91/1.10 [1203]~P9(x12032,x12031,a1)+~E(f6(f8(x12031,x12033,a1),x12034,a1),f6(f8(x12032,x12033,a1),x12035,a1))+E(f6(f8(f3(x12031,x12032,a1),x12033,a1),x12034,a1),x12035) % 0.91/1.10 [1222]~P9(x12223,x12222,a1)+~P8(f6(f8(x12223,x12224,a1),x12221,a1),f6(f8(x12222,x12224,a1),x12225,a1),a1)+P8(x12221,f6(f8(f3(x12222,x12223,a1),x12224,a1),x12225,a1),a1) % 0.91/1.10 [1223]~P9(x12233,x12232,a1)+~P9(f6(f8(x12233,x12234,a1),x12231,a1),f6(f8(x12232,x12234,a1),x12235,a1),a1)+P9(x12231,f6(f8(f3(x12232,x12233,a1),x12234,a1),x12235,a1),a1) % 0.91/1.10 [1224]~P9(x12242,x12241,a1)+~P8(f6(f8(x12241,x12243,a1),x12244,a1),f6(f8(x12242,x12243,a1),x12245,a1),a1)+P8(f6(f8(f3(x12241,x12242,a1),x12243,a1),x12244,a1),x12245,a1) % 0.91/1.10 [1225]~P9(x12252,x12251,a1)+~P9(f6(f8(x12251,x12253,a1),x12254,a1),f6(f8(x12252,x12253,a1),x12255,a1),a1)+P9(f6(f8(f3(x12251,x12252,a1),x12253,a1),x12254,a1),x12255,a1) % 0.91/1.10 [1230]~P9(x12301,x12304,a1)+P8(f6(f8(x12301,x12302,a1),x12303,a1),f6(f8(x12304,x12302,a1),x12305,a1),a1)+~P8(x12303,f6(f8(f3(x12304,x12301,a1),x12302,a1),x12305,a1),a1) % 0.91/1.10 [1231]~P9(x12311,x12314,a1)+P9(f6(f8(x12311,x12312,a1),x12313,a1),f6(f8(x12314,x12312,a1),x12315,a1),a1)+~P9(x12313,f6(f8(f3(x12314,x12311,a1),x12312,a1),x12315,a1),a1) % 0.91/1.10 [1232]~P9(x12324,x12321,a1)+P8(f6(f8(x12321,x12322,a1),x12323,a1),f6(f8(x12324,x12322,a1),x12325,a1),a1)+~P8(f6(f8(f3(x12321,x12324,a1),x12322,a1),x12323,a1),x12325,a1) % 0.91/1.10 [1233]~P9(x12334,x12331,a1)+P9(f6(f8(x12331,x12332,a1),x12333,a1),f6(f8(x12334,x12332,a1),x12335,a1),a1)+~P9(f6(f8(f3(x12331,x12334,a1),x12332,a1),x12333,a1),x12335,a1) % 0.91/1.10 [1198]~P59(x11984)+~E(f6(f8(x11983,x11985,x11984),x11981,x11984),f6(f8(x11982,x11985,x11984),x11986,x11984))+E(x11981,f6(f8(f3(x11982,x11983,x11984),x11985,x11984),x11986,x11984)) % 0.91/1.10 [1199]~P59(x11993)+~E(f6(f8(x11991,x11994,x11993),x11995,x11993),f6(f8(x11992,x11994,x11993),x11996,x11993))+E(f6(f8(f3(x11991,x11992,x11993),x11994,x11993),x11995,x11993),x11996) % 0.91/1.10 [1218]~P56(x12184)+~P8(f6(f8(x12183,x12185,x12184),x12181,x12184),f6(f8(x12182,x12185,x12184),x12186,x12184),x12184)+P8(x12181,f6(f8(f3(x12182,x12183,x12184),x12185,x12184),x12186,x12184),x12184) % 0.91/1.10 [1219]~P56(x12194)+~P9(f6(f8(x12193,x12195,x12194),x12191,x12194),f6(f8(x12192,x12195,x12194),x12196,x12194),x12194)+P9(x12191,f6(f8(f3(x12192,x12193,x12194),x12195,x12194),x12196,x12194),x12194) % 0.91/1.10 [1220]~P56(x12203)+~P8(f6(f8(x12201,x12204,x12203),x12205,x12203),f6(f8(x12202,x12204,x12203),x12206,x12203),x12203)+P8(f6(f8(f3(x12201,x12202,x12203),x12204,x12203),x12205,x12203),x12206,x12203) % 0.91/1.10 [1221]~P56(x12213)+~P9(f6(f8(x12211,x12214,x12213),x12215,x12213),f6(f8(x12212,x12214,x12213),x12216,x12213),x12213)+P9(f6(f8(f3(x12211,x12212,x12213),x12214,x12213),x12215,x12213),x12216,x12213) % 0.91/1.10 [1226]~P56(x12263)+P8(f6(f8(x12261,x12262,x12263),x12264,x12263),f6(f8(x12265,x12262,x12263),x12266,x12263),x12263)+~P8(x12264,f6(f8(f3(x12265,x12261,x12263),x12262,x12263),x12266,x12263),x12263) % 0.91/1.10 [1227]~P56(x12273)+P9(f6(f8(x12271,x12272,x12273),x12274,x12273),f6(f8(x12275,x12272,x12273),x12276,x12273),x12273)+~P9(x12274,f6(f8(f3(x12275,x12271,x12273),x12272,x12273),x12276,x12273),x12273) % 0.91/1.10 [1228]~P56(x12283)+P8(f6(f8(x12281,x12282,x12283),x12284,x12283),f6(f8(x12285,x12282,x12283),x12286,x12283),x12283)+~P8(f6(f8(f3(x12281,x12285,x12283),x12282,x12283),x12284,x12283),x12286,x12283) % 0.91/1.10 [1229]~P56(x12293)+P9(f6(f8(x12291,x12292,x12293),x12294,x12293),f6(f8(x12295,x12292,x12293),x12296,x12293),x12293)+~P9(f6(f8(f3(x12291,x12295,x12293),x12292,x12293),x12294,x12293),x12296,x12293) % 0.91/1.10 [321]~P43(x3212)+~P39(x3212)+~E(f4(x3211,x3212),f7(x3212))+E(x3211,f7(x3212)) % 0.91/1.10 [475]~P63(x4752)+~P8(f2(x4752),x4751,x4752)+E(f9(x4751,x4752),f7(x4752))+E(x4751,f2(x4752)) % 0.91/1.10 [620]~P49(x6201)+~P39(x6201)+~P9(f2(x6201),x6202,x6201)+P9(f2(x6201),f4(x6202,x6201),x6201) % 0.91/1.10 [622]~P49(x6222)+~P39(x6222)+~P9(x6221,f2(x6222),x6222)+P8(f4(x6221,x6222),f7(x6222),x6222) % 0.91/1.10 [623]~P49(x6232)+~P39(x6232)+~P9(x6231,f2(x6232),x6232)+P9(f4(x6231,x6232),f2(x6232),x6232) % 0.91/1.10 [624]~P49(x6242)+~P39(x6242)+~P9(x6241,f2(x6242),x6242)+P9(f4(x6241,x6242),f7(x6242),x6242) % 0.91/1.10 [625]~P49(x6252)+~P39(x6252)+~P8(f7(x6252),x6251,x6252)+P8(f4(x6251,x6252),f7(x6252),x6252) % 0.91/1.10 [626]~P49(x6262)+~P39(x6262)+~P9(f7(x6262),x6261,x6262)+P9(f4(x6261,x6262),f7(x6262),x6262) % 0.91/1.10 [643]~P49(x6432)+~P8(f4(x6431,x6432),f2(x6432),x6432)+P8(x6431,f2(x6432),x6432)+E(x6431,f2(x6432)) % 0.91/1.10 [644]~P49(x6442)+~P8(f2(x6442),f4(x6441,x6442),x6442)+P8(f2(x6442),x6441,x6442)+E(x6441,f2(x6442)) % 0.91/1.10 [646]~P49(x6462)+~P39(x6462)+~P8(f7(x6462),f4(x6461,x6462),x6462)+P8(x6461,f7(x6462),x6462) % 0.91/1.10 [647]~P49(x6472)+~P39(x6472)+~P9(f7(x6472),f4(x6471,x6472),x6472)+P9(x6471,f7(x6472),x6472) % 0.91/1.10 [648]~P49(x6482)+~P39(x6482)+~P8(f4(x6481,x6482),f2(x6482),x6482)+P8(x6481,f2(x6482),x6482) % 0.91/1.10 [649]~P49(x6492)+~P39(x6492)+~P9(f4(x6491,x6492),f2(x6492),x6492)+P9(x6491,f2(x6492),x6492) % 0.91/1.10 [650]~P49(x6501)+~P39(x6501)+~P8(f2(x6501),f4(x6502,x6501),x6501)+P8(f2(x6501),x6502,x6501) % 0.91/1.10 [651]~P49(x6511)+~P39(x6511)+~P8(f7(x6511),f4(x6512,x6511),x6511)+P8(f2(x6511),x6512,x6511) % 0.91/1.10 [652]~P49(x6521)+~P39(x6521)+~P9(f7(x6521),f4(x6522,x6521),x6521)+P8(f2(x6521),x6522,x6521) % 0.91/1.10 [653]~P49(x6531)+~P39(x6531)+~P9(f2(x6531),f4(x6532,x6531),x6531)+P9(f2(x6531),x6532,x6531) % 0.91/1.10 [385]~P1(x3852)+~P2(x3852)+E(x3851,f2(a1))+E(f28(f2(x3852),x3851,x3852),f2(x3852)) % 0.91/1.10 [431]~P63(x4312)+P8(f2(x4312),x4311,x4312)+E(x4311,f2(x4312))+E(f9(x4311,x4312),f10(f7(x4312),x4312)) % 0.91/1.10 [758]~P49(x7581)+~P39(x7581)+~P8(f2(x7581),x7582,x7581)+P8(f2(x7581),f5(f7(x7581),x7582,x7581),x7581) % 0.91/1.10 [759]~P49(x7591)+~P39(x7591)+~P9(f2(x7591),x7592,x7591)+P9(f2(x7591),f5(f7(x7591),x7592,x7591),x7591) % 0.91/1.10 [760]~P49(x7601)+~P39(x7601)+~P8(x7602,f2(x7601),x7601)+P8(f5(f7(x7601),x7602,x7601),f2(x7601),x7601) % 0.91/1.10 [761]~P49(x7611)+~P39(x7611)+~P9(x7612,f2(x7611),x7611)+P9(f5(f7(x7611),x7612,x7611),f2(x7611),x7611) % 0.91/1.10 [871]~P49(x8712)+~P39(x8712)+P8(x8711,f2(x8712),x8712)+~P8(f5(f7(x8712),x8711,x8712),f2(x8712),x8712) % 0.91/1.10 [872]~P49(x8722)+~P39(x8722)+P9(x8721,f2(x8722),x8722)+~P9(f5(f7(x8722),x8721,x8722),f2(x8722),x8722) % 0.91/1.10 [873]~P49(x8731)+~P39(x8731)+P8(f2(x8731),x8732,x8731)+~P8(f2(x8731),f5(f7(x8731),x8732,x8731),x8731) % 0.91/1.10 [874]~P49(x8741)+~P39(x8741)+P9(f2(x8741),x8742,x8741)+~P9(f2(x8741),f5(f7(x8741),x8742,x8741),x8741) % 0.91/1.10 [468]P8(x4681,x4682,x4683)+~P3(x4683)+E(x4681,x4682)+P8(x4682,x4681,x4683) % 0.91/1.10 [469]P8(x4691,x4692,x4693)+~P48(x4693)+E(x4691,x4692)+P8(x4692,x4691,x4693) % 0.91/1.10 [522]~P3(x5223)+~P9(x5221,x5222,x5223)+E(x5221,x5222)+P8(x5221,x5222,x5223) % 0.91/1.10 [528]~P32(x5283)+~P9(x5281,x5282,x5283)+E(x5281,x5282)+P8(x5281,x5282,x5283) % 0.91/1.10 [582]~P9(x5822,x5821,x5823)+~P9(x5821,x5822,x5823)+E(x5821,x5822)+~P32(x5823) % 0.91/1.10 [633]P9(x6332,x6331,x6333)+~P31(x6333)+~P9(x6331,x6332,x6333)+P8(x6331,x6332,x6333) % 0.91/1.10 [330]~P39(x3303)+~P40(x3303)+E(x3301,x3302)+~E(f4(x3301,x3303),f4(x3302,x3303)) % 0.91/1.10 [429]~P43(x4293)+E(x4291,x4292)+~E(f5(x4291,x4292,x4293),f7(x4293))+E(x4292,f2(x4293)) % 0.91/1.10 [430]~P13(x4302)+~P44(x4302)+~E(f6(x4303,x4301,x4302),x4303)+E(x4301,f2(x4302)) % 0.91/1.10 [434]~P13(x4343)+~P44(x4343)+E(x4341,x4342)+~E(f3(x4341,x4342,x4343),f2(x4343)) % 0.91/1.10 [438]~P46(x4382)+~E(f8(x4383,x4381,x4382),f2(x4382))+E(x4381,f2(x4382))+E(x4383,f2(x4382)) % 0.91/1.10 [439]~P57(x4392)+~E(f8(x4393,x4391,x4392),f2(x4392))+E(x4391,f2(x4392))+E(x4393,f2(x4392)) % 0.91/1.10 [618]~P44(x6183)+E(x6181,x6182)+~E(f8(x6181,x6181,x6183),f8(x6182,x6182,x6183))+E(x6181,f10(x6182,x6183)) % 0.91/1.10 [764]~P49(x7642)+~P8(x7643,x7641,x7642)+~P8(x7641,f2(x7642),x7642)+P8(f4(x7641,x7642),f4(x7643,x7642),x7642) % 0.91/1.10 [765]~P49(x7652)+~P9(x7653,x7651,x7652)+~P8(x7651,f2(x7652),x7652)+P9(f4(x7651,x7652),f4(x7653,x7652),x7652) % 0.91/1.10 [766]~P49(x7662)+~P8(x7663,x7661,x7662)+~P8(f2(x7662),x7663,x7662)+P8(f4(x7661,x7662),f4(x7663,x7662),x7662) % 0.91/1.10 [767]~P49(x7672)+~P9(x7673,x7671,x7672)+~P8(f2(x7672),x7673,x7672)+P9(f4(x7671,x7672),f4(x7673,x7672),x7672) % 0.91/1.10 [805]~P49(x8053)+P8(x8051,x8052,x8053)+~P8(x8051,f2(x8053),x8053)+~P8(f4(x8052,x8053),f4(x8051,x8053),x8053) % 0.91/1.10 [806]~P49(x8063)+P9(x8061,x8062,x8063)+~P8(x8061,f2(x8063),x8063)+~P9(f4(x8062,x8063),f4(x8061,x8063),x8063) % 0.91/1.10 [807]~P49(x8073)+P8(x8071,x8072,x8073)+~P8(f2(x8073),x8072,x8073)+~P8(f4(x8072,x8073),f4(x8071,x8073),x8073) % 0.91/1.10 [808]~P49(x8083)+P9(x8081,x8082,x8083)+~P8(f2(x8083),x8082,x8083)+~P9(f4(x8082,x8083),f4(x8081,x8083),x8083) % 0.91/1.10 [841]E(x8411,x8412)+~P9(x8413,x8412,a1)+~P9(x8413,x8411,a1)+~E(f3(x8411,x8413,a1),f3(x8412,x8413,a1)) % 0.91/1.10 [880]~P33(x8801)+~P8(f7(x8801),x8802,x8801)+P8(f7(x8801),f28(x8802,x8803,x8801),x8801)+~P8(f2(a1),x8803,a1) % 0.91/1.10 [895]~P50(x8951)+~P8(x8953,f2(x8951),x8951)+~P8(x8952,f2(x8951),x8951)+P8(f2(x8951),f8(x8952,x8953,x8951),x8951) % 0.91/1.10 [896]~P49(x8961)+~P8(x8963,f2(x8961),x8961)+~P8(x8962,f2(x8961),x8961)+P8(f2(x8961),f5(x8962,x8963,x8961),x8961) % 0.91/1.10 [898]~P56(x8981)+~P9(x8983,f2(x8981),x8981)+~P9(x8982,f2(x8981),x8981)+P9(f2(x8981),f8(x8982,x8983,x8981),x8981) % 0.91/1.10 [899]~P50(x8991)+~P9(x8993,f2(x8991),x8991)+~P9(x8992,f2(x8991),x8991)+P9(f2(x8991),f8(x8992,x8993,x8991),x8991) % 0.91/1.10 [900]~P49(x9001)+~P8(x9003,f2(x9001),x9001)+~P9(x9002,f2(x9001),x9001)+P9(f2(x9001),f5(x9002,x9003,x9001),x9001) % 0.91/1.10 [901]~P51(x9011)+~P8(f2(x9011),x9013,x9011)+~P8(f2(x9011),x9012,x9011)+P8(f2(x9011),f8(x9012,x9013,x9011),x9011) % 0.91/1.10 [902]~P29(x9021)+~P8(f2(x9021),x9023,x9021)+~P8(f2(x9021),x9022,x9021)+P8(f2(x9021),f6(x9022,x9023,x9021),x9021) % 0.91/1.10 [903]~P29(x9031)+~P8(f2(x9031),x9033,x9031)+~P9(f2(x9031),x9032,x9031)+P8(f2(x9031),f6(x9032,x9033,x9031),x9031) % 0.91/1.10 [904]~P29(x9041)+~P8(f2(x9041),x9042,x9041)+~P9(f2(x9041),x9043,x9041)+P8(f2(x9041),f6(x9042,x9043,x9041),x9041) % 0.91/1.10 [905]~P49(x9051)+~P8(f2(x9051),x9053,x9051)+~P8(f2(x9051),x9052,x9051)+P8(f2(x9051),f5(x9052,x9053,x9051),x9051) % 0.91/1.10 [906]~P33(x9061)+~P8(f7(x9061),x9063,x9061)+~P8(f7(x9061),x9062,x9061)+P8(f7(x9061),f8(x9062,x9063,x9061),x9061) % 0.91/1.10 [907]~P56(x9071)+~P9(f2(x9071),x9073,x9071)+~P9(f2(x9071),x9072,x9071)+P9(f2(x9071),f8(x9072,x9073,x9071),x9071) % 0.91/1.10 [908]~P50(x9081)+~P9(f2(x9081),x9083,x9081)+~P9(f2(x9081),x9082,x9081)+P9(f2(x9081),f8(x9082,x9083,x9081),x9081) % 0.91/1.10 [909]~P54(x9091)+~P9(f2(x9091),x9093,x9091)+~P9(f2(x9091),x9092,x9091)+P9(f2(x9091),f8(x9092,x9093,x9091),x9091) % 0.91/1.10 [910]~P29(x9101)+~P9(f2(x9101),x9103,x9101)+~P9(f2(x9101),x9102,x9101)+P9(f2(x9101),f6(x9102,x9103,x9101),x9101) % 0.91/1.10 [911]~P49(x9111)+~P8(f2(x9111),x9113,x9111)+~P9(f2(x9111),x9112,x9111)+P9(f2(x9111),f5(x9112,x9113,x9111),x9111) % 0.91/1.10 [912]~P29(x9123)+~P8(x9122,f2(x9123),x9123)+~P8(x9121,f2(x9123),x9123)+P8(f6(x9121,x9122,x9123),f2(x9123),x9123) % 0.91/1.10 [913]~P29(x9133)+~P8(x9132,f2(x9133),x9133)+~P9(x9131,f2(x9133),x9133)+P8(f6(x9131,x9132,x9133),f2(x9133),x9133) % 0.91/1.10 [914]~P29(x9143)+~P8(x9141,f2(x9143),x9143)+~P9(x9142,f2(x9143),x9143)+P8(f6(x9141,x9142,x9143),f2(x9143),x9143) % 0.91/1.10 [915]~P29(x9153)+~P9(x9152,f2(x9153),x9153)+~P9(x9151,f2(x9153),x9153)+P9(f6(x9151,x9152,x9153),f2(x9153),x9153) % 0.91/1.10 [916]~P51(x9163)+~P8(x9162,f2(x9163),x9163)+~P8(f2(x9163),x9161,x9163)+P8(f8(x9161,x9162,x9163),f2(x9163),x9163) % 0.91/1.10 [918]~P51(x9183)+~P8(x9181,f2(x9183),x9183)+~P8(f2(x9183),x9182,x9183)+P8(f8(x9181,x9182,x9183),f2(x9183),x9183) % 0.91/1.10 [919]~P49(x9193)+~P8(x9192,f2(x9193),x9193)+~P8(f2(x9193),x9191,x9193)+P8(f5(x9191,x9192,x9193),f2(x9193),x9193) % 0.91/1.10 [920]~P49(x9203)+~P8(x9201,f2(x9203),x9203)+~P8(f2(x9203),x9202,x9203)+P8(f5(x9201,x9202,x9203),f2(x9203),x9203) % 0.91/1.10 [921]~P50(x9213)+~P9(x9212,f2(x9213),x9213)+~P9(f2(x9213),x9211,x9213)+P9(f8(x9211,x9212,x9213),f2(x9213),x9213) % 0.91/1.10 [922]~P50(x9223)+~P9(x9221,f2(x9223),x9223)+~P9(f2(x9223),x9222,x9223)+P9(f8(x9221,x9222,x9223),f2(x9223),x9223) % 0.91/1.10 [924]~P54(x9243)+~P9(x9242,f2(x9243),x9243)+~P9(f2(x9243),x9241,x9243)+P9(f8(x9241,x9242,x9243),f2(x9243),x9243) % 0.91/1.10 [927]~P54(x9273)+~P9(x9271,f2(x9273),x9273)+~P9(f2(x9273),x9272,x9273)+P9(f8(x9271,x9272,x9273),f2(x9273),x9273) % 0.91/1.10 [928]~P49(x9283)+~P8(x9282,f2(x9283),x9283)+~P9(f2(x9283),x9281,x9283)+P9(f5(x9281,x9282,x9283),f2(x9283),x9283) % 0.91/1.10 [929]~P49(x9293)+~P9(x9291,f2(x9293),x9293)+~P8(f2(x9293),x9292,x9293)+P9(f5(x9291,x9292,x9293),f2(x9293),x9293) % 0.91/1.10 [948]~P50(x9482)+~P9(f8(x9483,x9481,x9482),f2(x9482),x9482)+P9(x9481,f2(x9482),x9482)+P9(x9483,f2(x9482),x9482) % 0.91/1.10 [949]~P50(x9492)+~P9(f2(x9492),f8(x9493,x9491,x9492),x9492)+P9(x9491,f2(x9492),x9492)+P9(f2(x9492),x9493,x9492) % 0.91/1.10 [950]~P50(x9502)+~P9(f2(x9502),f8(x9501,x9503,x9502),x9502)+P9(x9501,f2(x9502),x9502)+P9(f2(x9502),x9503,x9502) % 0.91/1.10 [951]~P50(x9512)+~P9(f2(x9512),f8(x9513,x9511,x9512),x9512)+P9(x9511,f2(x9512),x9512)+P9(f2(x9512),x9511,x9512) % 0.91/1.10 [952]~P50(x9522)+~P9(f2(x9522),f8(x9521,x9523,x9522),x9522)+P9(x9521,f2(x9522),x9522)+P9(f2(x9522),x9521,x9522) % 0.91/1.10 [953]~P50(x9532)+~P9(f8(x9533,x9531,x9532),f2(x9532),x9532)+P9(x9531,f2(x9532),x9532)+P9(f2(x9532),x9531,x9532) % 0.91/1.10 [954]~P50(x9542)+~P9(f8(x9541,x9543,x9542),f2(x9542),x9542)+P9(x9541,f2(x9542),x9542)+P9(f2(x9542),x9541,x9542) % 0.91/1.10 [955]~P50(x9551)+~P9(f8(x9552,x9553,x9551),f2(x9551),x9551)+P9(f2(x9551),x9552,x9551)+P9(f2(x9551),x9553,x9551) % 0.91/1.10 [987]~P51(x9871)+~P8(f2(x9871),f8(x9873,x9872,x9871),x9871)+P8(f2(x9871),x9872,x9871)+~P8(f2(x9871),x9873,x9871) % 0.91/1.10 [988]~P51(x9881)+~P8(f2(x9881),f8(x9882,x9883,x9881),x9881)+P8(f2(x9881),x9882,x9881)+~P8(f2(x9881),x9883,x9881) % 0.91/1.10 [1164]~P9(x11643,x11641,a1)+P8(x11641,x11642,a1)+~P9(x11643,x11642,a1)+~P8(f3(x11641,x11643,a1),f3(x11642,x11643,a1),a1) % 0.91/1.10 [1165]~P9(x11653,x11651,a1)+P9(x11651,x11652,a1)+~P9(x11653,x11652,a1)+~P9(f3(x11651,x11653,a1),f3(x11652,x11653,a1),a1) % 0.91/1.10 [585]~P43(x5852)+~P39(x5852)+E(x5851,f2(x5852))+E(f8(f5(x5853,x5851,x5852),x5851,x5852),x5853) % 0.91/1.10 [714]~P40(x7142)+E(x7141,f2(x7142))+E(x7143,f2(x7142))+E(f8(f4(x7141,x7142),f4(x7143,x7142),x7142),f4(f8(x7143,x7141,x7142),x7142)) % 0.91/1.10 [946]~P33(x9463)+~P8(x9461,f7(x9463),x9463)+~P8(f2(x9463),x9461,x9463)+P8(f28(x9461,f27(x9462),x9463),f7(x9463),x9463) % 0.91/1.10 [1125]~P40(x11252)+E(x11251,f2(x11252))+E(x11253,f2(x11252))+E(f8(f8(f4(x11253,x11252),f6(x11253,x11251,x11252),x11252),f4(x11251,x11252),x11252),f6(f4(x11253,x11252),f4(x11251,x11252),x11252)) % 0.91/1.10 [1126]~P40(x11262)+E(x11261,f2(x11262))+E(x11263,f2(x11262))+E(f8(f8(f4(x11263,x11262),f3(x11261,x11263,x11262),x11262),f4(x11261,x11262),x11262),f3(f4(x11263,x11262),f4(x11261,x11262),x11262)) % 0.91/1.10 [1127]~P43(x11272)+E(x11271,f2(x11272))+E(x11273,f2(x11272))+E(f8(f8(f6(x11273,x11271,x11272),f4(x11273,x11272),x11272),f4(x11271,x11272),x11272),f6(f4(x11273,x11272),f4(x11271,x11272),x11272)) % 0.91/1.10 [1177]~P33(x11773)+~P8(x11771,f7(x11773),x11773)+~P8(f2(x11773),x11771,x11773)+P8(f8(x11771,f28(x11771,x11772,x11773),x11773),f28(x11771,x11772,x11773),x11773) % 0.91/1.10 [690]~P31(x6903)+~P8(x6901,x6904,x6903)+P8(x6901,x6902,x6903)+~P8(x6904,x6902,x6903) % 0.91/1.10 [691]~P31(x6913)+~P9(x6911,x6914,x6913)+P8(x6911,x6912,x6913)+~P8(x6914,x6912,x6913) % 0.91/1.10 [692]~P31(x6923)+~P9(x6924,x6922,x6923)+P8(x6921,x6922,x6923)+~P8(x6921,x6924,x6923) % 0.91/1.10 [693]~P32(x6933)+~P8(x6931,x6934,x6933)+P8(x6931,x6932,x6933)+~P8(x6934,x6932,x6933) % 0.91/1.10 [694]~P32(x6943)+~P9(x6941,x6944,x6943)+P8(x6941,x6942,x6943)+~P8(x6944,x6942,x6943) % 0.91/1.10 [695]~P32(x6953)+~P9(x6954,x6952,x6953)+P8(x6951,x6952,x6953)+~P8(x6951,x6954,x6953) % 0.91/1.10 [696]~P31(x6963)+~P9(x6961,x6964,x6963)+P9(x6961,x6962,x6963)+~P9(x6964,x6962,x6963) % 0.91/1.10 [697]~P32(x6973)+~P9(x6971,x6974,x6973)+P9(x6971,x6972,x6973)+~P9(x6974,x6972,x6973) % 0.91/1.10 [698]~P34(x6983)+~P11(x6981,x6984,x6983)+P11(x6981,x6982,x6983)+~P11(x6984,x6982,x6983) % 0.91/1.10 [597]~P13(x5974)+~P44(x5974)+E(x5971,x5972)+~E(f6(x5973,x5971,x5974),f6(x5973,x5972,x5974)) % 0.91/1.10 [754]~P33(x7544)+E(x7541,x7542)+~P8(f7(x7544),x7543,x7544)+~E(f28(x7543,x7541,x7544),f28(x7543,x7542,x7544)) % 0.91/1.10 [844]~P3(x8444)+~P8(x8441,x8443,x8444)+~P8(x8441,x8442,x8444)+P8(x8441,f26(x8442,x8443,x8444),x8444) % 0.91/1.10 [847]~P3(x8474)+~P9(x8471,x8473,x8474)+~P9(x8471,x8472,x8474)+P9(x8471,f26(x8472,x8473,x8474),x8474) % 0.91/1.10 [848]~P34(x8484)+~P11(x8481,x8483,x8484)+~P11(x8481,x8482,x8484)+P11(x8481,f6(x8482,x8483,x8484),x8484) % 0.91/1.10 [849]~P36(x8494)+~P11(x8491,x8493,x8494)+~P11(x8491,x8492,x8494)+P11(x8491,f3(x8492,x8493,x8494),x8494) % 0.91/1.10 [850]~P3(x8503)+~P8(x8502,x8504,x8503)+~P8(x8501,x8504,x8503)+P8(f25(x8501,x8502,x8503),x8504,x8503) % 0.91/1.10 [853]~P3(x8533)+~P9(x8532,x8534,x8533)+~P9(x8531,x8534,x8533)+P9(f25(x8531,x8532,x8533),x8534,x8533) % 0.91/1.10 [868]~P33(x8684)+~P8(x8681,x8683,x8684)+~P8(f2(x8684),x8682,x8684)+P8(x8681,f6(x8682,x8683,x8684),x8684) % 0.91/1.10 [932]~P3(x9323)+P8(x9321,x9322,x9323)+P8(x9321,x9324,x9323)+~P8(x9321,f25(x9322,x9324,x9323),x9323) % 0.91/1.10 [933]~P3(x9333)+P9(x9331,x9332,x9333)+P9(x9331,x9334,x9333)+~P9(x9331,f25(x9332,x9334,x9333),x9333) % 0.91/1.10 [934]~P3(x9343)+P8(x9341,x9342,x9343)+P8(x9344,x9342,x9343)+~P8(f26(x9341,x9344,x9343),x9342,x9343) % 0.91/1.10 [935]~P3(x9353)+P9(x9351,x9352,x9353)+P9(x9354,x9352,x9353)+~P9(f26(x9351,x9354,x9353),x9352,x9353) % 0.91/1.10 [1035]~P33(x10353)+~P8(x10352,x10354,a1)+~P8(f7(x10353),x10351,x10353)+P8(f28(x10351,x10352,x10353),f28(x10351,x10354,x10353),x10353) % 0.91/1.10 [1036]~P33(x10363)+~P9(x10362,x10364,a1)+~P8(f7(x10363),x10361,x10363)+P9(f28(x10361,x10362,x10363),f28(x10361,x10364,x10363),x10363) % 0.91/1.10 [1037]~P33(x10373)+~P9(x10372,x10374,a1)+~P9(f7(x10373),x10371,x10373)+P9(f28(x10371,x10372,x10373),f28(x10371,x10374,x10373),x10373) % 0.91/1.10 [1041]~P50(x10413)+~P8(x10414,x10411,x10413)+~P8(x10412,f2(x10413),x10413)+P8(f8(x10411,x10412,x10413),f8(x10414,x10412,x10413),x10413) % 0.91/1.10 [1044]~P50(x10443)+~P8(x10444,x10442,x10443)+~P8(x10441,f2(x10443),x10443)+P8(f8(x10441,x10442,x10443),f8(x10441,x10444,x10443),x10443) % 0.91/1.10 [1045]~P49(x10453)+~P8(x10454,x10451,x10453)+~P8(x10452,f2(x10453),x10453)+P8(f5(x10451,x10452,x10453),f5(x10454,x10452,x10453),x10453) % 0.91/1.10 [1046]~P56(x10463)+~P9(x10464,x10461,x10463)+~P9(x10462,f2(x10463),x10463)+P9(f8(x10461,x10462,x10463),f8(x10464,x10462,x10463),x10463) % 0.91/1.10 [1047]~P56(x10473)+~P9(x10474,x10472,x10473)+~P9(x10471,f2(x10473),x10473)+P9(f8(x10471,x10472,x10473),f8(x10471,x10474,x10473),x10473) % 0.91/1.10 [1048]~P50(x10483)+~P9(x10484,x10482,x10483)+~P8(x10481,f2(x10483),x10483)+P9(f8(x10481,x10482,x10483),f8(x10481,x10484,x10483),x10483) % 0.91/1.10 [1049]~P51(x10493)+~P8(x10491,x10494,x10493)+~P8(f2(x10493),x10492,x10493)+P8(f8(x10491,x10492,x10493),f8(x10494,x10492,x10493),x10493) % 0.91/1.10 [1050]~P50(x10503)+~P8(x10501,x10504,x10503)+~P8(f2(x10503),x10502,x10503)+P8(f8(x10501,x10502,x10503),f8(x10504,x10502,x10503),x10503) % 0.91/1.10 [1051]~P51(x10513)+~P8(x10512,x10514,x10513)+~P8(f2(x10513),x10511,x10513)+P8(f8(x10511,x10512,x10513),f8(x10511,x10514,x10513),x10513) % 0.91/1.10 [1053]~P50(x10533)+~P8(x10532,x10534,x10533)+~P8(f2(x10533),x10531,x10533)+P8(f8(x10531,x10532,x10533),f8(x10531,x10534,x10533),x10533) % 0.91/1.10 [1054]~P41(x10543)+~P8(x10542,x10544,x10543)+~P8(f2(x10543),x10541,x10543)+P8(f8(x10541,x10542,x10543),f8(x10541,x10544,x10543),x10543) % 0.91/1.10 [1055]~P49(x10553)+~P8(x10551,x10554,x10553)+~P8(f2(x10553),x10552,x10553)+P8(f5(x10551,x10552,x10553),f5(x10554,x10552,x10553),x10553) % 0.91/1.10 [1056]~P42(x10563)+~P9(x10561,x10564,x10563)+~P9(f2(x10563),x10562,x10563)+P9(f8(x10561,x10562,x10563),f8(x10564,x10562,x10563),x10563) % 0.91/1.10 [1057]~P50(x10573)+~P9(x10572,x10574,x10573)+~P8(f2(x10573),x10571,x10573)+P9(f8(x10571,x10572,x10573),f8(x10571,x10574,x10573),x10573) % 0.91/1.10 [1058]~P42(x10583)+~P9(x10582,x10584,x10583)+~P9(f2(x10583),x10581,x10583)+P9(f8(x10581,x10582,x10583),f8(x10581,x10584,x10583),x10583) % 0.91/1.10 [1059]~P45(x10593)+~P9(x10592,x10594,x10593)+~P9(f2(x10593),x10591,x10593)+P9(f8(x10591,x10592,x10593),f8(x10591,x10594,x10593),x10593) % 0.91/1.10 [1060]~P33(x10603)+~P9(x10601,x10604,x10603)+~P9(f2(x10603),x10601,x10603)+P9(f28(x10601,x10602,x10603),f28(x10604,x10602,x10603),x10603) % 0.91/1.10 [1078]~P44(x10782)+P11(x10783,x10784,x10782)+~P11(f8(x10781,x10783,x10782),f8(x10781,x10784,x10782),x10782)+E(x10781,f2(x10782)) % 0.91/1.10 [1079]~P44(x10792)+P11(x10793,x10794,x10792)+~P11(f8(x10793,x10791,x10792),f8(x10794,x10791,x10792),x10792)+E(x10791,f2(x10792)) % 0.91/1.10 [1089]~P49(x10894)+~P8(f2(x10894),x10893,x10894)+~P8(f8(x10891,x10893,x10894),x10892,x10894)+P8(x10891,f5(x10892,x10893,x10894),x10894) % 0.91/1.10 [1090]~P49(x10904)+~P8(f2(x10904),x10903,x10904)+~P9(f8(x10901,x10903,x10904),x10902,x10904)+P9(x10901,f5(x10902,x10903,x10904),x10904) % 0.91/1.10 [1091]~P49(x10913)+~P8(f2(x10913),x10912,x10913)+~P8(x10911,f8(x10914,x10912,x10913),x10913)+P8(f5(x10911,x10912,x10913),x10914,x10913) % 0.91/1.10 [1092]~P49(x10923)+~P8(f2(x10923),x10922,x10923)+~P9(x10921,f8(x10924,x10922,x10923),x10923)+P9(f5(x10921,x10922,x10923),x10924,x10923) % 0.91/1.10 [1103]P8(x11032,x11031,x11033)+~P50(x11033)+P8(x11031,x11032,x11033)+~P8(f8(x11034,x11031,x11033),f8(x11034,x11032,x11033),x11033) % 0.91/1.10 [1104]P8(x11042,x11041,x11043)+~P50(x11043)+P8(x11041,x11042,x11043)+~P8(f8(x11041,x11044,x11043),f8(x11042,x11044,x11043),x11043) % 0.91/1.10 [1107]~P50(x11073)+P8(x11071,x11072,x11073)+~P8(f8(x11071,x11074,x11073),f8(x11072,x11074,x11073),x11073)+P8(x11074,f2(x11073),x11073) % 0.91/1.10 [1108]~P50(x11083)+P8(x11081,x11082,x11083)+~P8(f8(x11084,x11081,x11083),f8(x11084,x11082,x11083),x11083)+P8(x11084,f2(x11083),x11083) % 0.91/1.10 [1109]~P50(x11093)+P8(x11091,x11092,x11093)+~P8(f8(x11094,x11092,x11093),f8(x11094,x11091,x11093),x11093)+P8(f2(x11093),x11094,x11093) % 0.91/1.10 [1110]~P50(x11103)+P8(x11101,x11102,x11103)+~P8(f8(x11102,x11104,x11103),f8(x11101,x11104,x11103),x11103)+P8(f2(x11103),x11104,x11103) % 0.91/1.10 [1115]~P50(x11152)+~P8(f8(x11153,x11151,x11152),f8(x11154,x11151,x11152),x11152)+P8(x11151,f2(x11152),x11152)+P8(f2(x11152),x11151,x11152) % 0.91/1.10 [1116]~P50(x11162)+~P8(f8(x11161,x11163,x11162),f8(x11161,x11164,x11162),x11162)+P8(x11161,f2(x11162),x11162)+P8(f2(x11162),x11161,x11162) % 0.91/1.10 [1129]~P33(x11293)+~P8(f28(x11294,x11291,x11293),f28(x11294,x11292,x11293),x11293)+P8(x11291,x11292,a1)+~P8(f7(x11293),x11294,x11293) % 0.91/1.10 [1131]~P33(x11313)+~P9(f28(x11314,x11311,x11313),f28(x11314,x11312,x11313),x11313)+P9(x11311,x11312,a1)+~P8(f7(x11313),x11314,x11313) % 0.91/1.10 [1132]~P50(x11323)+P8(x11321,x11322,x11323)+~P8(f8(x11324,x11322,x11323),f8(x11324,x11321,x11323),x11323)+~P8(x11324,f2(x11323),x11323) % 0.91/1.10 [1133]~P50(x11333)+P9(x11331,x11332,x11333)+~P9(f8(x11334,x11332,x11333),f8(x11334,x11331,x11333),x11333)+~P8(x11334,f2(x11333),x11333) % 0.91/1.10 [1134]~P33(x11343)+P8(x11341,x11342,x11343)+~P9(f2(x11343),x11342,x11343)+~P8(f28(x11341,x11344,x11343),f28(x11342,x11344,x11343),x11343) % 0.91/1.10 [1135]~P51(x11353)+P8(x11351,x11352,x11353)+~P8(f8(x11354,x11351,x11353),f8(x11354,x11352,x11353),x11353)+~P9(f2(x11353),x11354,x11353) % 0.91/1.10 [1136]~P51(x11363)+P8(x11361,x11362,x11363)+~P8(f8(x11361,x11364,x11363),f8(x11362,x11364,x11363),x11363)+~P9(f2(x11363),x11364,x11363) % 0.91/1.10 [1137]~P50(x11373)+P8(x11371,x11372,x11373)+~P8(f8(x11374,x11371,x11373),f8(x11374,x11372,x11373),x11373)+~P8(f2(x11373),x11374,x11373) % 0.91/1.10 [1138]~P52(x11383)+P8(x11381,x11382,x11383)+~P8(f8(x11384,x11381,x11383),f8(x11384,x11382,x11383),x11383)+~P9(f2(x11383),x11384,x11383) % 0.91/1.10 [1139]~P52(x11393)+P8(x11391,x11392,x11393)+~P8(f8(x11391,x11394,x11393),f8(x11392,x11394,x11393),x11393)+~P9(f2(x11393),x11394,x11393) % 0.91/1.10 [1140]~P51(x11403)+P9(x11401,x11402,x11403)+~P9(f8(x11404,x11401,x11403),f8(x11404,x11402,x11403),x11403)+~P8(f2(x11403),x11404,x11403) % 0.91/1.10 [1141]~P51(x11413)+P9(x11411,x11412,x11413)+~P9(f8(x11411,x11414,x11413),f8(x11412,x11414,x11413),x11413)+~P8(f2(x11413),x11414,x11413) % 0.91/1.10 [1142]~P50(x11423)+P9(x11421,x11422,x11423)+~P9(f8(x11424,x11421,x11423),f8(x11424,x11422,x11423),x11423)+~P8(f2(x11423),x11424,x11423) % 0.91/1.10 [856]~P43(x8562)+~P39(x8562)+E(x8561,f2(x8562))+E(f5(f8(x8563,x8561,x8562),f8(x8564,x8561,x8562),x8562),f5(x8563,x8564,x8562)) % 0.91/1.10 [857]~P43(x8572)+~P39(x8572)+E(x8571,f2(x8572))+E(f5(f8(x8571,x8573,x8572),f8(x8571,x8574,x8572),x8572),f5(x8573,x8574,x8572)) % 0.91/1.10 [1093]~P43(x10932)+~P9(x10934,x10933,a1)+E(x10931,f2(x10932))+E(f5(f28(x10931,x10933,x10932),f28(x10931,x10934,x10932),x10932),f28(x10931,f3(x10933,x10934,a1),x10932)) % 0.91/1.10 [1163]~P33(x11633)+P9(x11631,x11632,x11633)+~P9(f2(x11633),x11632,x11633)+~P9(f28(x11631,f27(x11634),x11633),f28(x11632,f27(x11634),x11633),x11633) % 0.91/1.10 [1123]~P43(x11232)+~P39(x11232)+E(x11231,f2(x11232))+E(f5(f6(x11233,f8(x11234,x11231,x11232),x11232),x11231,x11232),f6(x11234,f5(x11233,x11231,x11232),x11232)) % 0.91/1.10 [1124]~P43(x11242)+~P39(x11242)+E(x11241,f2(x11242))+E(f5(f6(x11243,f8(x11244,x11241,x11242),x11242),x11241,x11242),f6(f5(x11243,x11241,x11242),x11244,x11242)) % 0.91/1.10 [799]~P27(x7993)+~P8(x7994,x7995,x7993)+P8(x7991,x7992,x7993)+~E(f3(x7994,x7995,x7993),f3(x7991,x7992,x7993)) % 0.91/1.10 [800]~P27(x8003)+~P8(x8004,x8005,x8003)+P8(x8001,x8002,x8003)+~E(f3(x8001,x8002,x8003),f3(x8004,x8005,x8003)) % 0.91/1.10 [801]~P27(x8013)+~P9(x8015,x8014,x8013)+P9(x8011,x8012,x8013)+~E(f3(x8014,x8015,x8013),f3(x8012,x8011,x8013)) % 0.91/1.10 [802]~P27(x8023)+~P9(x8025,x8024,x8023)+P9(x8021,x8022,x8023)+~E(f3(x8022,x8021,x8023),f3(x8024,x8025,x8023)) % 0.91/1.10 [1023]~P34(x10233)+~P11(x10231,x10234,x10233)+~P9(x10232,x10235,a1)+P11(f28(x10231,x10232,x10233),f28(x10234,x10235,x10233),x10233) % 0.91/1.10 [1024]~P30(x10243)+~P8(x10242,x10245,x10243)+~P8(x10241,x10244,x10243)+P8(f6(x10241,x10242,x10243),f6(x10244,x10245,x10243),x10243) % 0.91/1.10 [1025]~P30(x10253)+~P8(x10252,x10255,x10253)+~P9(x10251,x10254,x10253)+P8(f6(x10251,x10252,x10253),f6(x10254,x10255,x10253),x10253) % 0.91/1.10 [1026]~P30(x10263)+~P8(x10261,x10264,x10263)+~P9(x10262,x10265,x10263)+P8(f6(x10261,x10262,x10263),f6(x10264,x10265,x10263),x10263) % 0.91/1.10 [1027]~P25(x10273)+~P9(x10272,x10275,x10273)+~P9(x10271,x10274,x10273)+P9(f6(x10271,x10272,x10273),f6(x10274,x10275,x10273),x10273) % 0.91/1.10 [1028]~P34(x10283)+~P11(x10282,x10285,x10283)+~P11(x10281,x10284,x10283)+P11(f8(x10281,x10282,x10283),f8(x10284,x10285,x10283),x10283) % 0.91/1.10 [1083]~P34(x10833)+~P11(f28(x10831,x10835,x10833),x10834,x10833)+P11(f28(x10831,x10832,x10833),x10834,x10833)+~P9(x10832,x10835,a1) % 0.91/1.10 [1084]~P27(x10844)+~P9(x10845,x10843,x10844)+~P9(x10841,f6(x10842,x10845,x10844),x10844)+P9(x10841,f6(x10842,x10843,x10844),x10844) % 0.91/1.10 [1207]~P43(x12072)+E(x12071,f2(x12072))+E(x12073,f2(x12072))+E(f5(f6(f8(x12074,x12071,x12072),f8(x12075,x12073,x12072),x12072),f8(x12073,x12071,x12072),x12072),f6(f5(x12074,x12073,x12072),f5(x12075,x12071,x12072),x12072)) % 0.91/1.10 [1208]~P43(x12082)+E(x12081,f2(x12082))+E(x12083,f2(x12082))+E(f5(f3(f8(x12084,x12081,x12082),f8(x12085,x12083,x12082),x12082),f8(x12083,x12081,x12082),x12082),f3(f5(x12084,x12083,x12082),f5(x12085,x12081,x12082),x12082)) % 0.91/1.10 [752]~P49(x7522)+~P39(x7522)+P8(f7(x7522),x7521,x7522)+~P8(f4(x7521,x7522),f7(x7522),x7522)+P9(x7521,f2(x7522),x7522) % 0.91/1.10 [753]~P49(x7532)+~P39(x7532)+P9(f7(x7532),x7531,x7532)+~P9(f4(x7531,x7532),f7(x7532),x7532)+P9(x7531,f2(x7532),x7532) % 0.91/1.10 [762]~P49(x7621)+~P39(x7621)+~P8(f2(x7621),x7622,x7621)+~P8(x7622,f7(x7621),x7621)+P8(f7(x7621),f4(x7622,x7621),x7621) % 0.91/1.10 [763]~P49(x7631)+~P39(x7631)+~P8(f2(x7631),x7632,x7631)+~P9(x7632,f7(x7631),x7631)+P9(f7(x7631),f4(x7632,x7631),x7631) % 0.91/1.10 [473]~P2(x4732)+~P62(x4732)+~P46(x4732)+~P47(x4732)+~E(f28(x4731,f2(a1),x4732),f2(x4732)) % 0.91/1.10 [338]~P40(x3383)+E(x3381,x3382)+~E(f4(x3381,x3383),f4(x3382,x3383))+E(x3382,f2(x3383))+E(x3381,f2(x3383)) % 0.91/1.10 [768]~P29(x7682)+~P9(f2(x7682),x7681,x7682)+~P9(f2(x7682),x7683,x7682)+~E(f6(x7683,x7681,x7682),f2(x7682))+E(x7681,f2(x7682)) % 0.91/1.10 [769]~P29(x7692)+~P9(f2(x7692),x7693,x7692)+~P9(f2(x7692),x7691,x7692)+~E(f6(x7691,x7693,x7692),f2(x7692))+E(x7691,f2(x7692)) % 0.91/1.10 [937]~P49(x9371)+~P39(x9371)+~P9(x9373,f2(x9371),x9371)+~P9(x9372,f2(x9371),x9371)+P9(f2(x9371),f5(x9372,x9373,x9371),x9371) % 0.91/1.10 [939]~P49(x9391)+~P39(x9391)+~P9(f2(x9391),x9393,x9391)+~P9(f2(x9391),x9392,x9391)+P9(f2(x9391),f5(x9392,x9393,x9391),x9391) % 0.91/1.10 [942]~P49(x9423)+~P39(x9423)+~P9(x9422,f2(x9423),x9423)+~P9(f2(x9423),x9421,x9423)+P9(f5(x9421,x9422,x9423),f2(x9423),x9423) % 0.91/1.10 [943]~P49(x9433)+~P39(x9433)+~P9(x9431,f2(x9433),x9433)+~P9(f2(x9433),x9432,x9433)+P9(f5(x9431,x9432,x9433),f2(x9433),x9433) % 0.91/1.10 [965]~P49(x9652)+~P39(x9652)+~P8(f5(x9653,x9651,x9652),f2(x9652),x9652)+P8(x9651,f2(x9652),x9652)+P8(x9653,f2(x9652),x9652) % 0.91/1.10 [966]~P49(x9662)+~P39(x9662)+~P9(f5(x9663,x9661,x9662),f2(x9662),x9662)+P9(x9661,f2(x9662),x9662)+P9(x9663,f2(x9662),x9662) % 0.91/1.10 [967]~P49(x9672)+~P39(x9672)+~P8(f2(x9672),f5(x9673,x9671,x9672),x9672)+P8(x9671,f2(x9672),x9672)+P8(f2(x9672),x9673,x9672) % 0.91/1.10 [968]~P49(x9682)+~P39(x9682)+~P8(f2(x9682),f5(x9681,x9683,x9682),x9682)+P8(x9681,f2(x9682),x9682)+P8(f2(x9682),x9683,x9682) % 0.91/1.10 [969]~P49(x9692)+~P39(x9692)+~P8(f2(x9692),f5(x9693,x9691,x9692),x9692)+P8(x9691,f2(x9692),x9692)+P8(f2(x9692),x9691,x9692) % 0.91/1.10 [970]~P49(x9702)+~P39(x9702)+~P8(f2(x9702),f5(x9701,x9703,x9702),x9702)+P8(x9701,f2(x9702),x9702)+P8(f2(x9702),x9701,x9702) % 0.91/1.10 [971]~P49(x9712)+~P39(x9712)+~P9(f2(x9712),f5(x9713,x9711,x9712),x9712)+P9(x9711,f2(x9712),x9712)+P9(f2(x9712),x9713,x9712) % 0.91/1.10 [972]~P49(x9722)+~P39(x9722)+~P9(f2(x9722),f5(x9721,x9723,x9722),x9722)+P9(x9721,f2(x9722),x9722)+P9(f2(x9722),x9723,x9722) % 0.91/1.10 [973]~P49(x9732)+~P39(x9732)+~P9(f2(x9732),f5(x9733,x9731,x9732),x9732)+P9(x9731,f2(x9732),x9732)+P9(f2(x9732),x9731,x9732) % 0.91/1.10 [974]~P49(x9742)+~P39(x9742)+~P9(f2(x9742),f5(x9741,x9743,x9742),x9742)+P9(x9741,f2(x9742),x9742)+P9(f2(x9742),x9741,x9742) % 0.91/1.10 [975]~P49(x9752)+~P39(x9752)+~P8(f5(x9753,x9751,x9752),f2(x9752),x9752)+P8(x9751,f2(x9752),x9752)+P8(f2(x9752),x9751,x9752) % 0.91/1.10 [976]~P49(x9762)+~P39(x9762)+~P8(f5(x9761,x9763,x9762),f2(x9762),x9762)+P8(x9761,f2(x9762),x9762)+P8(f2(x9762),x9761,x9762) % 0.91/1.10 [977]~P49(x9772)+~P39(x9772)+~P9(f5(x9773,x9771,x9772),f2(x9772),x9772)+P9(x9771,f2(x9772),x9772)+P9(f2(x9772),x9771,x9772) % 0.91/1.10 [978]~P49(x9782)+~P39(x9782)+~P9(f5(x9781,x9783,x9782),f2(x9782),x9782)+P9(x9781,f2(x9782),x9782)+P9(f2(x9782),x9781,x9782) % 0.91/1.10 [979]~P49(x9791)+~P39(x9791)+~P8(f5(x9792,x9793,x9791),f2(x9791),x9791)+P8(f2(x9791),x9792,x9791)+P8(f2(x9791),x9793,x9791) % 0.91/1.10 [980]~P49(x9801)+~P39(x9801)+~P9(f5(x9802,x9803,x9801),f2(x9801),x9801)+P9(f2(x9801),x9802,x9801)+P9(f2(x9801),x9803,x9801) % 0.91/1.10 [1038]~P48(x10383)+~P9(x10381,f7(x10383),x10383)+~P9(f2(x10383),x10382,x10383)+~P9(f2(x10383),x10381,x10383)+P9(f8(x10381,x10382,x10383),x10382,x10383) % 0.91/1.10 [1039]~P48(x10393)+~P9(x10392,f7(x10393),x10393)+~P9(f2(x10393),x10392,x10393)+~P9(f2(x10393),x10391,x10393)+P9(f8(x10391,x10392,x10393),x10391,x10393) % 0.91/1.10 [875]~P24(x8754)+~P5(x8754)+~P8(x8751,x8753,x8754)+~P9(f2(x8754),x8752,x8754)+P8(x8751,f6(x8752,x8753,x8754),x8754) % 0.91/1.10 [876]~P24(x8764)+~P5(x8764)+~P9(x8761,x8763,x8764)+~P8(f2(x8764),x8762,x8764)+P8(x8761,f6(x8762,x8763,x8764),x8764) % 0.91/1.10 [877]~P24(x8774)+~P5(x8774)+~P9(x8771,x8773,x8774)+~P9(f2(x8774),x8772,x8774)+P9(x8771,f6(x8772,x8773,x8774),x8774) % 0.91/1.10 [878]~P24(x8784)+~P5(x8784)+~P9(x8781,x8782,x8784)+~P9(f2(x8784),x8783,x8784)+P9(x8781,f6(x8782,x8783,x8784),x8784) % 0.91/1.10 [1066]~P49(x10663)+~P39(x10663)+~P9(x10664,x10661,x10663)+~P9(x10662,f2(x10663),x10663)+P9(f5(x10661,x10662,x10663),f5(x10664,x10662,x10663),x10663) % 0.91/1.10 [1067]~P49(x10673)+~P39(x10673)+~P9(x10671,x10674,x10673)+~P9(f2(x10673),x10672,x10673)+P9(f5(x10671,x10672,x10673),f5(x10674,x10672,x10673),x10673) % 0.91/1.10 [1094]~P49(x10944)+~P39(x10944)+~P8(f2(x10944),x10943,x10944)+~P8(f5(x10941,x10943,x10944),x10942,x10944)+P8(x10941,f8(x10942,x10943,x10944),x10944) % 0.91/1.10 [1096]~P49(x10964)+~P39(x10964)+~P8(f2(x10964),x10963,x10964)+~P9(f5(x10961,x10963,x10964),x10962,x10964)+P9(x10961,f8(x10962,x10963,x10964),x10964) % 0.91/1.10 [1098]~P49(x10983)+~P39(x10983)+~P8(f2(x10983),x10982,x10983)+~P8(x10981,f5(x10984,x10982,x10983),x10983)+P8(f8(x10981,x10982,x10983),x10984,x10983) % 0.91/1.10 [1100]~P49(x11003)+~P39(x11003)+~P8(f2(x11003),x11002,x11003)+~P9(x11001,f5(x11004,x11002,x11003),x11003)+P9(f8(x11001,x11002,x11003),x11004,x11003) % 0.91/1.10 [1111]~P33(x11113)+~P8(x11111,x11114,x11113)+~P9(f2(x11113),x11111,x11113)+P8(f28(x11111,x11112,x11113),f28(x11114,x11112,x11113),x11113)+~P8(f2(a1),x11112,a1) % 0.91/1.10 [1117]~P33(x11173)+~P8(x11174,x11172,a1)+~P8(x11171,f7(x11173),x11173)+~P8(f2(x11173),x11171,x11173)+P8(f28(x11171,x11172,x11173),f28(x11171,x11174,x11173),x11173) % 0.91/1.10 [1118]~P33(x11183)+~P9(x11184,x11182,a1)+~P9(x11181,f7(x11183),x11183)+~P9(f2(x11183),x11181,x11183)+P9(f28(x11181,x11182,x11183),f28(x11181,x11184,x11183),x11183) % 0.91/1.10 [1179]~P49(x11793)+~P8(x11792,x11794,x11793)+~P8(x11791,f2(x11793),x11793)+~P8(f2(x11793),f8(x11792,x11794,x11793),x11793)+P8(f5(x11791,x11792,x11793),f5(x11791,x11794,x11793),x11793) % 0.91/1.10 [1180]~P49(x11803)+~P8(x11804,x11802,x11803)+~P8(f2(x11803),x11801,x11803)+~P8(f2(x11803),f8(x11802,x11804,x11803),x11803)+P8(f5(x11801,x11802,x11803),f5(x11801,x11804,x11803),x11803) % 0.91/1.10 [1181]~P49(x11813)+~P9(x11814,x11812,x11813)+~P9(f2(x11813),x11811,x11813)+~P8(f2(x11813),f8(x11812,x11814,x11813),x11813)+P9(f5(x11811,x11812,x11813),f5(x11811,x11814,x11813),x11813) % 0.91/1.10 [947]~P33(x9474)+E(x9471,x9472)+~P9(f2(x9474),x9472,x9474)+~P9(f2(x9474),x9471,x9474)+~E(f28(x9471,f27(x9473),x9474),f28(x9472,f27(x9473),x9474)) % 0.91/1.10 [770]~P43(x7702)+~E(f5(x7704,x7703,x7702),f5(x7705,x7701,x7702))+E(f8(x7704,x7701,x7702),f8(x7705,x7703,x7702))+E(x7701,f2(x7702))+E(x7703,f2(x7702)) % 0.91/1.10 [771]~P43(x7712)+~E(f8(x7714,x7713,x7712),f8(x7715,x7711,x7712))+E(f5(x7714,x7711,x7712),f5(x7715,x7713,x7712))+E(x7711,f2(x7712))+E(x7713,f2(x7712)) % 0.91/1.10 [1102]~P13(x11024)+~P44(x11024)+E(x11021,x11022)+E(x11023,f2(x11024))+~E(f6(x11025,f8(x11023,x11021,x11024),x11024),f6(x11025,f8(x11023,x11022,x11024),x11024)) % 0.91/1.10 [1196]~P13(x11965)+~P44(x11965)+E(x11961,x11962)+E(x11963,x11964)+~E(f6(f8(x11963,x11961,x11965),f8(x11964,x11962,x11965),x11965),f6(f8(x11963,x11962,x11965),f8(x11964,x11961,x11965),x11965)) % 0.91/1.10 [1214]~P38(x12145)+~P37(x12145)+~P11(x12141,x12144,x12145)+~P11(x12141,f6(x12142,x12146,x12145),x12145)+P11(x12141,f6(f3(x12142,f8(x12143,x12144,x12145),x12145),x12146,x12145),x12145) % 0.91/1.10 [1215]~P38(x12154)+~P37(x12154)+~P11(x12151,x12155,x12154)+P11(x12151,f6(x12152,x12153,x12154),x12154)+~P11(x12151,f6(f3(x12152,f8(x12156,x12155,x12154),x12154),x12153,x12154),x12154) % 0.91/1.10 [414]~P2(x4142)+~P62(x4142)+~P46(x4142)+~P47(x4142)+E(x4141,f2(a1))+E(f28(f2(x4142),x4141,x4142),f2(x4142)) % 0.91/1.10 [474]~P2(x4742)+~P62(x4742)+~P46(x4742)+~P47(x4742)+~E(f28(x4741,x4743,x4742),f2(x4742))+E(x4741,f2(x4742)) % 0.91/1.10 [956]~P49(x9562)+~P39(x9562)+P8(x9561,f2(x9562),x9562)+P8(f2(x9562),x9561,x9562)+~P8(x9563,f2(x9562),x9562)+P8(x9563,f5(x9564,x9561,x9562),x9562) % 0.91/1.10 [957]~P49(x9572)+~P39(x9572)+P8(x9571,f2(x9572),x9572)+P8(f2(x9572),x9571,x9572)+~P9(x9573,f2(x9572),x9572)+P9(x9573,f5(x9574,x9571,x9572),x9572) % 0.91/1.10 [958]~P49(x9582)+~P39(x9582)+P8(x9581,f2(x9582),x9582)+P8(f2(x9582),x9581,x9582)+~P8(f2(x9582),x9584,x9582)+P8(f5(x9583,x9581,x9582),x9584,x9582) % 0.91/1.10 [959]~P49(x9592)+~P39(x9592)+P8(x9591,f2(x9592),x9592)+P8(f2(x9592),x9591,x9592)+~P9(f2(x9592),x9594,x9592)+P9(f5(x9593,x9591,x9592),x9594,x9592) % 0.91/1.10 [1030]~P49(x10302)+~P39(x10302)+P8(x10301,f2(x10302),x10302)+P8(f2(x10302),x10301,x10302)+~P8(x10303,f5(x10304,x10301,x10302),x10302)+P8(x10303,f2(x10302),x10302) % 0.91/1.10 [1031]~P49(x10312)+~P39(x10312)+P8(x10311,f2(x10312),x10312)+P8(f2(x10312),x10311,x10312)+~P9(x10313,f5(x10314,x10311,x10312),x10312)+P9(x10313,f2(x10312),x10312) % 0.91/1.10 [1032]~P49(x10322)+~P39(x10322)+P8(x10321,f2(x10322),x10322)+P8(f2(x10322),x10321,x10322)+~P8(f5(x10324,x10321,x10322),x10323,x10322)+P8(f2(x10322),x10323,x10322) % 0.91/1.10 [1033]~P49(x10332)+~P39(x10332)+P8(x10331,f2(x10332),x10332)+P8(f2(x10332),x10331,x10332)+~P9(f5(x10334,x10331,x10332),x10333,x10332)+P9(f2(x10332),x10333,x10332) % 0.91/1.10 [1061]~P33(x10614)+E(x10611,x10612)+~P9(f2(x10614),x10612,x10614)+~P9(f2(x10614),x10611,x10614)+~E(f28(x10611,x10613,x10614),f28(x10612,x10613,x10614))+~P8(f2(a1),x10613,a1) % 0.91/1.10 [1144]~P49(x11442)+~P39(x11442)+~P8(f8(x11443,x11441,x11442),x11444,x11442)+P8(x11441,f2(x11442),x11442)+~P8(x11443,f2(x11442),x11442)+P8(x11443,f5(x11444,x11441,x11442),x11442) % 0.91/1.10 [1145]~P49(x11452)+~P39(x11452)+~P9(f8(x11453,x11451,x11452),x11454,x11452)+P8(x11451,f2(x11452),x11452)+~P9(x11453,f2(x11452),x11452)+P9(x11453,f5(x11454,x11451,x11452),x11452) % 0.91/1.10 [1146]~P49(x11462)+~P39(x11462)+~P8(x11463,f8(x11464,x11461,x11462),x11462)+P8(x11461,f2(x11462),x11462)+~P8(f2(x11462),x11464,x11462)+P8(f5(x11463,x11461,x11462),x11464,x11462) % 0.91/1.10 [1147]~P49(x11472)+~P39(x11472)+~P9(x11473,f8(x11474,x11471,x11472),x11472)+P8(x11471,f2(x11472),x11472)+~P9(f2(x11472),x11474,x11472)+P9(f5(x11473,x11471,x11472),x11474,x11472) % 0.91/1.10 [1148]~P49(x11481)+~P39(x11481)+~P8(x11484,f5(x11483,x11482,x11481),x11481)+~P8(x11482,f2(x11481),x11481)+P8(f2(x11481),x11482,x11481)+P8(x11483,f8(x11484,x11482,x11481),x11481) % 0.91/1.10 [1149]~P49(x11491)+~P39(x11491)+~P8(x11494,f8(x11493,x11492,x11491),x11491)+~P8(x11492,f2(x11491),x11491)+P8(f2(x11491),x11492,x11491)+P8(x11493,f5(x11494,x11492,x11491),x11491) % 0.91/1.10 [1150]~P49(x11501)+~P39(x11501)+~P8(x11504,f8(x11503,x11502,x11501),x11501)+~P8(x11503,f2(x11501),x11501)+P8(f2(x11501),x11502,x11501)+P8(x11503,f5(x11504,x11502,x11501),x11501) % 0.91/1.10 [1151]~P49(x11511)+~P39(x11511)+~P9(x11514,f5(x11513,x11512,x11511),x11511)+~P8(x11512,f2(x11511),x11511)+P8(f2(x11511),x11512,x11511)+P9(x11513,f8(x11514,x11512,x11511),x11511) % 0.91/1.10 [1152]~P49(x11521)+~P39(x11521)+~P9(x11524,f8(x11523,x11522,x11521),x11521)+~P8(x11522,f2(x11521),x11521)+P8(f2(x11521),x11522,x11521)+P9(x11523,f5(x11524,x11522,x11521),x11521) % 0.91/1.10 [1153]~P49(x11531)+~P39(x11531)+~P9(x11534,f8(x11533,x11532,x11531),x11531)+~P9(x11533,f2(x11531),x11531)+P8(f2(x11531),x11532,x11531)+P9(x11533,f5(x11534,x11532,x11531),x11531) % 0.91/1.10 [1154]~P49(x11541)+~P39(x11541)+~P8(f5(x11544,x11542,x11541),x11543,x11541)+~P8(x11542,f2(x11541),x11541)+P8(f2(x11541),x11542,x11541)+P8(f8(x11543,x11542,x11541),x11544,x11541) % 0.91/1.10 [1155]~P49(x11551)+~P39(x11551)+~P8(f8(x11554,x11552,x11551),x11553,x11551)+~P8(x11552,f2(x11551),x11551)+P8(f2(x11551),x11552,x11551)+P8(f5(x11553,x11552,x11551),x11554,x11551) % 0.91/1.10 [1156]~P49(x11561)+~P39(x11561)+~P9(f5(x11564,x11562,x11561),x11563,x11561)+~P8(x11562,f2(x11561),x11561)+P8(f2(x11561),x11562,x11561)+P9(f8(x11563,x11562,x11561),x11564,x11561) % 0.91/1.10 [1157]~P49(x11571)+~P39(x11571)+~P9(f8(x11574,x11572,x11571),x11573,x11571)+~P8(x11572,f2(x11571),x11571)+P8(f2(x11571),x11572,x11571)+P9(f5(x11573,x11572,x11571),x11574,x11571) % 0.91/1.10 [1158]~P49(x11581)+~P39(x11581)+~P8(f8(x11584,x11582,x11581),x11583,x11581)+~P8(f2(x11581),x11584,x11581)+P8(f2(x11581),x11582,x11581)+P8(f5(x11583,x11582,x11581),x11584,x11581) % 0.91/1.10 [1159]~P49(x11591)+~P39(x11591)+~P9(f8(x11594,x11592,x11591),x11593,x11591)+~P9(f2(x11591),x11594,x11591)+P8(f2(x11591),x11592,x11591)+P9(f5(x11593,x11592,x11591),x11594,x11591) % 0.91/1.10 [1182]~P49(x11823)+~P39(x11823)+~P9(x11822,x11824,x11823)+~P9(x11821,f2(x11823),x11823)+~P8(f2(x11823),f8(x11822,x11824,x11823),x11823)+P9(f5(x11821,x11822,x11823),f5(x11821,x11824,x11823),x11823) % 0.91/1.10 [1185]~P49(x11854)+~P39(x11854)+~P8(x11853,f2(x11854),x11854)+~P8(x11852,f8(x11851,x11853,x11854),x11854)+~P8(f8(x11851,x11853,x11854),x11852,x11854)+P8(x11851,f5(x11852,x11853,x11854),x11854) % 0.91/1.10 [1186]~P49(x11864)+~P39(x11864)+~P8(x11861,f2(x11864),x11864)+~P8(x11862,f8(x11861,x11863,x11864),x11864)+~P8(f8(x11861,x11863,x11864),x11862,x11864)+P8(x11861,f5(x11862,x11863,x11864),x11864) % 0.91/1.10 [1187]~P49(x11874)+~P39(x11874)+~P8(x11873,f2(x11874),x11874)+~P9(x11872,f8(x11871,x11873,x11874),x11874)+~P9(f8(x11871,x11873,x11874),x11872,x11874)+P9(x11871,f5(x11872,x11873,x11874),x11874) % 0.91/1.10 [1188]~P49(x11884)+~P39(x11884)+~P9(x11881,f2(x11884),x11884)+~P9(x11882,f8(x11881,x11883,x11884),x11884)+~P9(f8(x11881,x11883,x11884),x11882,x11884)+P9(x11881,f5(x11882,x11883,x11884),x11884) % 0.91/1.10 [1189]~P49(x11893)+~P39(x11893)+~P8(x11892,f2(x11893),x11893)+~P8(x11891,f8(x11894,x11892,x11893),x11893)+~P8(f8(x11894,x11892,x11893),x11891,x11893)+P8(f5(x11891,x11892,x11893),x11894,x11893) % 0.91/1.10 [1190]~P49(x11903)+~P39(x11903)+~P8(x11902,f2(x11903),x11903)+~P9(x11901,f8(x11904,x11902,x11903),x11903)+~P9(f8(x11904,x11902,x11903),x11901,x11903)+P9(f5(x11901,x11902,x11903),x11904,x11903) % 0.91/1.10 [1191]~P49(x11913)+~P39(x11913)+~P8(f2(x11913),x11914,x11913)+~P8(x11911,f8(x11914,x11912,x11913),x11913)+~P8(f8(x11914,x11912,x11913),x11911,x11913)+P8(f5(x11911,x11912,x11913),x11914,x11913) % 0.91/1.10 [1192]~P49(x11923)+~P39(x11923)+~P9(f2(x11923),x11924,x11923)+~P9(x11921,f8(x11924,x11922,x11923),x11923)+~P9(f8(x11924,x11922,x11923),x11921,x11923)+P9(f5(x11921,x11922,x11923),x11924,x11923) % 0.91/1.10 [1166]~P51(x11663)+~P8(x11662,x11665,x11663)+~P8(x11661,x11664,x11663)+~P8(f2(x11663),x11664,x11663)+~P9(f2(x11663),x11662,x11663)+P8(f8(x11661,x11662,x11663),f8(x11664,x11665,x11663),x11663) % 0.91/1.10 [1167]~P51(x11673)+~P8(x11672,x11675,x11673)+~P8(x11671,x11674,x11673)+~P9(f2(x11673),x11672,x11673)+~P9(f2(x11673),x11671,x11673)+P8(f8(x11671,x11672,x11673),f8(x11674,x11675,x11673),x11673) % 0.91/1.10 [1168]~P51(x11683)+~P8(x11682,x11685,x11683)+~P9(x11681,x11684,x11683)+~P8(f2(x11683),x11681,x11683)+~P9(f2(x11683),x11682,x11683)+P8(f8(x11681,x11682,x11683),f8(x11684,x11685,x11683),x11683) % 0.91/1.10 [1169]~P51(x11693)+~P8(x11691,x11694,x11693)+~P9(x11692,x11695,x11693)+~P8(f2(x11693),x11692,x11693)+~P9(f2(x11693),x11691,x11693)+P8(f8(x11691,x11692,x11693),f8(x11694,x11695,x11693),x11693) % 0.91/1.10 [1170]~P49(x11703)+~P8(x11705,x11702,x11703)+~P9(x11701,x11704,x11703)+~P8(f2(x11703),x11705,x11703)+~P8(f2(x11703),x11701,x11703)+P8(f5(x11701,x11702,x11703),f5(x11704,x11705,x11703),x11703) % 0.91/1.10 [1171]~P49(x11713)+~P8(x11711,x11714,x11713)+~P9(x11715,x11712,x11713)+~P8(f2(x11713),x11715,x11713)+~P9(f2(x11713),x11711,x11713)+P8(f5(x11711,x11712,x11713),f5(x11714,x11715,x11713),x11713) % 0.91/1.10 [1172]~P55(x11723)+~P9(x11722,x11725,x11723)+~P9(x11721,x11724,x11723)+~P9(f2(x11723),x11724,x11723)+~P9(f2(x11723),x11722,x11723)+P9(f8(x11721,x11722,x11723),f8(x11724,x11725,x11723),x11723) % 0.91/1.10 [1173]~P55(x11733)+~P9(x11732,x11735,x11733)+~P9(x11731,x11734,x11733)+~P9(f2(x11733),x11732,x11733)+~P9(f2(x11733),x11731,x11733)+P9(f8(x11731,x11732,x11733),f8(x11734,x11735,x11733),x11733) % 0.91/1.10 [1174]~P49(x11743)+~P9(x11745,x11742,x11743)+~P9(x11741,x11744,x11743)+~P8(f2(x11743),x11745,x11743)+~P9(f2(x11743),x11741,x11743)+P9(f5(x11741,x11742,x11743),f5(x11744,x11745,x11743),x11743) % 0.91/1.10 %EqnAxiom % 0.91/1.10 [1]E(x11,x11) % 0.91/1.10 [2]E(x22,x21)+~E(x21,x22) % 0.91/1.10 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.91/1.10 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.91/1.10 [5]~E(x51,x52)+E(f11(x51),f11(x52)) % 0.91/1.10 [6]~E(x61,x62)+E(f6(x61,x63,x64),f6(x62,x63,x64)) % 0.91/1.10 [7]~E(x71,x72)+E(f6(x73,x71,x74),f6(x73,x72,x74)) % 0.91/1.10 [8]~E(x81,x82)+E(f6(x83,x84,x81),f6(x83,x84,x82)) % 0.91/1.10 [9]~E(x91,x92)+E(f24(x91),f24(x92)) % 0.91/1.10 [10]~E(x101,x102)+E(f8(x101,x103,x104),f8(x102,x103,x104)) % 0.91/1.10 [11]~E(x111,x112)+E(f8(x113,x111,x114),f8(x113,x112,x114)) % 0.91/1.10 [12]~E(x121,x122)+E(f8(x123,x124,x121),f8(x123,x124,x122)) % 0.91/1.10 [13]~E(x131,x132)+E(f12(x131),f12(x132)) % 0.91/1.10 [14]~E(x141,x142)+E(f28(x141,x143,x144),f28(x142,x143,x144)) % 0.91/1.10 [15]~E(x151,x152)+E(f28(x153,x151,x154),f28(x153,x152,x154)) % 0.91/1.10 [16]~E(x161,x162)+E(f28(x163,x164,x161),f28(x163,x164,x162)) % 0.91/1.10 [17]~E(x171,x172)+E(f15(x171),f15(x172)) % 0.91/1.10 [18]~E(x181,x182)+E(f3(x181,x183,x184),f3(x182,x183,x184)) % 0.91/1.10 [19]~E(x191,x192)+E(f3(x193,x191,x194),f3(x193,x192,x194)) % 0.91/1.10 [20]~E(x201,x202)+E(f3(x203,x204,x201),f3(x203,x204,x202)) % 0.91/1.10 [21]~E(x211,x212)+E(f16(x211,x213),f16(x212,x213)) % 0.91/1.10 [22]~E(x221,x222)+E(f16(x223,x221),f16(x223,x222)) % 0.91/1.10 [23]~E(x231,x232)+E(f5(x231,x233,x234),f5(x232,x233,x234)) % 0.91/1.10 [24]~E(x241,x242)+E(f5(x243,x241,x244),f5(x243,x242,x244)) % 0.91/1.10 [25]~E(x251,x252)+E(f5(x253,x254,x251),f5(x253,x254,x252)) % 0.91/1.10 [26]~E(x261,x262)+E(f10(x261,x263),f10(x262,x263)) % 0.91/1.10 [27]~E(x271,x272)+E(f10(x273,x271),f10(x273,x272)) % 0.91/1.10 [28]~E(x281,x282)+E(f7(x281),f7(x282)) % 0.91/1.10 [29]~E(x291,x292)+E(f23(x291,x293),f23(x292,x293)) % 0.91/1.10 [30]~E(x301,x302)+E(f23(x303,x301),f23(x303,x302)) % 0.91/1.10 [31]~E(x311,x312)+E(f4(x311,x313),f4(x312,x313)) % 0.91/1.10 [32]~E(x321,x322)+E(f4(x323,x321),f4(x323,x322)) % 0.91/1.10 [33]~E(x331,x332)+E(f27(x331),f27(x332)) % 0.91/1.10 [34]~E(x341,x342)+E(f25(x341,x343,x344),f25(x342,x343,x344)) % 0.91/1.10 [35]~E(x351,x352)+E(f25(x353,x351,x354),f25(x353,x352,x354)) % 0.91/1.10 [36]~E(x361,x362)+E(f25(x363,x364,x361),f25(x363,x364,x362)) % 0.91/1.10 [37]~E(x371,x372)+E(f18(x371,x373,x374),f18(x372,x373,x374)) % 0.91/1.10 [38]~E(x381,x382)+E(f18(x383,x381,x384),f18(x383,x382,x384)) % 0.91/1.10 [39]~E(x391,x392)+E(f18(x393,x394,x391),f18(x393,x394,x392)) % 0.91/1.10 [40]~E(x401,x402)+E(f19(x401,x403,x404),f19(x402,x403,x404)) % 0.91/1.10 [41]~E(x411,x412)+E(f19(x413,x411,x414),f19(x413,x412,x414)) % 0.91/1.10 [42]~E(x421,x422)+E(f19(x423,x424,x421),f19(x423,x424,x422)) % 0.91/1.10 [43]~E(x431,x432)+E(f26(x431,x433,x434),f26(x432,x433,x434)) % 0.91/1.10 [44]~E(x441,x442)+E(f26(x443,x441,x444),f26(x443,x442,x444)) % 0.91/1.10 [45]~E(x451,x452)+E(f26(x453,x454,x451),f26(x453,x454,x452)) % 0.91/1.10 [46]~E(x461,x462)+E(f20(x461,x463,x464),f20(x462,x463,x464)) % 0.91/1.10 [47]~E(x471,x472)+E(f20(x473,x471,x474),f20(x473,x472,x474)) % 0.91/1.10 [48]~E(x481,x482)+E(f20(x483,x484,x481),f20(x483,x484,x482)) % 0.91/1.10 [49]~E(x491,x492)+E(f17(x491,x493),f17(x492,x493)) % 0.91/1.10 [50]~E(x501,x502)+E(f17(x503,x501),f17(x503,x502)) % 0.91/1.10 [51]~E(x511,x512)+E(f9(x511,x513),f9(x512,x513)) % 0.91/1.10 [52]~E(x521,x522)+E(f9(x523,x521),f9(x523,x522)) % 0.91/1.10 [53]~E(x531,x532)+E(f22(x531,x533),f22(x532,x533)) % 0.91/1.10 [54]~E(x541,x542)+E(f22(x543,x541),f22(x543,x542)) % 0.91/1.10 [55]~E(x551,x552)+E(f13(x551),f13(x552)) % 0.91/1.10 [56]~E(x561,x562)+E(f21(x561,x563,x564),f21(x562,x563,x564)) % 0.91/1.10 [57]~E(x571,x572)+E(f21(x573,x571,x574),f21(x573,x572,x574)) % 0.91/1.10 [58]~E(x581,x582)+E(f21(x583,x584,x581),f21(x583,x584,x582)) % 0.91/1.10 [59]~E(x591,x592)+E(f14(x591,x593),f14(x592,x593)) % 0.91/1.10 [60]~E(x601,x602)+E(f14(x603,x601),f14(x603,x602)) % 0.91/1.10 [61]~P1(x611)+P1(x612)+~E(x611,x612) % 0.91/1.10 [62]~P2(x621)+P2(x622)+~E(x621,x622) % 0.91/1.10 [63]~P33(x631)+P33(x632)+~E(x631,x632) % 0.91/1.10 [64]~P51(x641)+P51(x642)+~E(x641,x642) % 0.91/1.10 [65]~P3(x651)+P3(x652)+~E(x651,x652) % 0.91/1.10 [66]~P34(x661)+P34(x662)+~E(x661,x662) % 0.91/1.10 [67]~P4(x671)+P4(x672)+~E(x671,x672) % 0.91/1.10 [68]~P20(x681)+P20(x682)+~E(x681,x682) % 0.91/1.10 [69]~P24(x691)+P24(x692)+~E(x691,x692) % 0.91/1.10 [70]~P5(x701)+P5(x702)+~E(x701,x702) % 0.91/1.10 [71]~P38(x711)+P38(x712)+~E(x711,x712) % 0.91/1.10 [72]~P28(x721)+P28(x722)+~E(x721,x722) % 0.91/1.10 [73]~P6(x731)+P6(x732)+~E(x731,x732) % 0.91/1.10 [74]~P52(x741)+P52(x742)+~E(x741,x742) % 0.91/1.10 [75]~P29(x751)+P29(x752)+~E(x751,x752) % 0.91/1.10 [76]~P25(x761)+P25(x762)+~E(x761,x762) % 0.91/1.10 [77]~P31(x771)+P31(x772)+~E(x771,x772) % 0.91/1.10 [78]~P32(x781)+P32(x782)+~E(x781,x782) % 0.91/1.10 [79]~P14(x791)+P14(x792)+~E(x791,x792) % 0.91/1.10 [80]~P61(x801)+P61(x802)+~E(x801,x802) % 0.91/1.10 [81]~P53(x811)+P53(x812)+~E(x811,x812) % 0.91/1.10 [82]~P54(x821)+P54(x822)+~E(x821,x822) % 0.91/1.10 [83]~P16(x831)+P16(x832)+~E(x831,x832) % 0.91/1.10 [84]~P19(x841)+P19(x842)+~E(x841,x842) % 0.91/1.10 [85]~P30(x851)+P30(x852)+~E(x851,x852) % 0.91/1.10 [86]~P41(x861)+P41(x862)+~E(x861,x862) % 0.91/1.10 [87]~P42(x871)+P42(x872)+~E(x871,x872) % 0.91/1.10 [88]~P45(x881)+P45(x882)+~E(x881,x882) % 0.91/1.10 [89]~P55(x891)+P55(x892)+~E(x891,x892) % 0.91/1.10 [90]~P62(x901)+P62(x902)+~E(x901,x902) % 0.91/1.10 [91]~P46(x911)+P46(x912)+~E(x911,x912) % 0.91/1.10 [92]~P47(x921)+P47(x922)+~E(x921,x922) % 0.91/1.10 [93]~P17(x931)+P17(x932)+~E(x931,x932) % 0.91/1.10 [94]~P35(x941)+P35(x942)+~E(x941,x942) % 0.91/1.10 [95]~P21(x951)+P21(x952)+~E(x951,x952) % 0.91/1.10 [96]~P7(x961)+P7(x962)+~E(x961,x962) % 0.91/1.10 [97]P8(x972,x973,x974)+~E(x971,x972)+~P8(x971,x973,x974) % 0.91/1.10 [98]P8(x983,x982,x984)+~E(x981,x982)+~P8(x983,x981,x984) % 0.91/1.10 [99]P8(x993,x994,x992)+~E(x991,x992)+~P8(x993,x994,x991) % 0.91/1.10 [100]P9(x1002,x1003,x1004)+~E(x1001,x1002)+~P9(x1001,x1003,x1004) % 0.91/1.10 [101]P9(x1013,x1012,x1014)+~E(x1011,x1012)+~P9(x1013,x1011,x1014) % 0.91/1.10 [102]P9(x1023,x1024,x1022)+~E(x1021,x1022)+~P9(x1023,x1024,x1021) % 0.91/1.10 [103]~P56(x1031)+P56(x1032)+~E(x1031,x1032) % 0.91/1.10 [104]~P49(x1041)+P49(x1042)+~E(x1041,x1042) % 0.91/1.10 [105]~P50(x1051)+P50(x1052)+~E(x1051,x1052) % 0.91/1.10 [106]~P27(x1061)+P27(x1062)+~E(x1061,x1062) % 0.91/1.10 [107]~P39(x1071)+P39(x1072)+~E(x1071,x1072) % 0.91/1.10 [108]P11(x1082,x1083,x1084)+~E(x1081,x1082)+~P11(x1081,x1083,x1084) % 0.91/1.10 [109]P11(x1093,x1092,x1094)+~E(x1091,x1092)+~P11(x1093,x1091,x1094) % 0.91/1.10 [110]P11(x1103,x1104,x1102)+~E(x1101,x1102)+~P11(x1103,x1104,x1101) % 0.91/1.10 [111]~P13(x1111)+P13(x1112)+~E(x1111,x1112) % 0.91/1.10 [112]~P44(x1121)+P44(x1122)+~E(x1121,x1122) % 0.91/1.10 [113]~P48(x1131)+P48(x1132)+~E(x1131,x1132) % 0.91/1.10 [114]~P43(x1141)+P43(x1142)+~E(x1141,x1142) % 0.91/1.10 [115]~P15(x1151)+P15(x1152)+~E(x1151,x1152) % 0.91/1.10 [116]~P40(x1161)+P40(x1162)+~E(x1161,x1162) % 0.91/1.10 [117]~P36(x1171)+P36(x1172)+~E(x1171,x1172) % 0.91/1.10 [118]~P22(x1181)+P22(x1182)+~E(x1181,x1182) % 0.91/1.10 [119]~P23(x1191)+P23(x1192)+~E(x1191,x1192) % 0.91/1.10 [120]~P59(x1201)+P59(x1202)+~E(x1201,x1202) % 0.91/1.10 [121]~P37(x1211)+P37(x1212)+~E(x1211,x1212) % 0.91/1.10 [122]P10(x1222,x1223)+~E(x1221,x1222)+~P10(x1221,x1223) % 0.91/1.10 [123]P10(x1233,x1232)+~E(x1231,x1232)+~P10(x1233,x1231) % 0.91/1.10 [124]~P12(x1241)+P12(x1242)+~E(x1241,x1242) % 0.91/1.10 [125]~P63(x1251)+P63(x1252)+~E(x1251,x1252) % 0.91/1.10 [126]~P18(x1261)+P18(x1262)+~E(x1261,x1262) % 0.91/1.10 [127]~P60(x1271)+P60(x1272)+~E(x1271,x1272) % 0.91/1.10 [128]~P26(x1281)+P26(x1282)+~E(x1281,x1282) % 0.91/1.10 [129]~P57(x1291)+P57(x1292)+~E(x1291,x1292) % 0.91/1.10 [130]~P58(x1301)+P58(x1302)+~E(x1301,x1302) % 0.91/1.10 % 0.91/1.10 %------------------------------------------- % 0.91/1.10 cnf(1278,plain, % 0.91/1.10 ($false), % 0.91/1.10 inference(scs_inference,[],[287,177,323]), % 0.91/1.10 ['proof']). % 0.91/1.10 % SZS output end Proof % 0.91/1.10 % Total time :0.092442s %------------------------------------------------------------------------------